Simple Linear Equations (A) worksheet featuring 15 equations to solve for variables, ideal for math practice.

Problem: Solve each of the given simple linear equations for the variable.

#### Equations:
1. $\frac{a}{8} = -4$
2. $b - (-5) = 13$
3. $3 + \frac{18}{z} = 12$
4. $-9 + \frac{36}{a} = -5$
5. $u + 2 = -8$
6. $2z = 2$
7. $-1 - \frac{y}{8} = -7$
8. $\frac{8}{u} - (-2) = 6$
9. $a - 2 = -10$
10. $\frac{u}{6} = 3$
11. $10 - \frac{b}{2} = 3$
12. $\frac{y}{-7} = -7$
13. $\frac{b}{7} = -5$
14. $\frac{-2}{c} = 2$
15. $\frac{c}{5} + 3 = 8$

---

Solutions:

#### 1. $\frac{a}{8} = -4$
To solve for $a$, multiply both sides by 8:
$$
\frac{a}{8} \cdot 8 = -4 \cdot 8
$$
$$
a = -32
$$
Answer: $a = -32$

---

#### 2. $b - (-5) = 13$
Simplify the left side:
$$
b + 5 = 13
$$
Subtract 5 from both sides:
$$
b = 13 - 5
$$
$$
b = 8
$$
Answer: $b = 8$

---

#### 3. $3 + \frac{18}{z} = 12$
Subtract 3 from both sides:
$$
\frac{18}{z} = 12 - 3
$$
$$
\frac{18}{z} = 9
$$
Multiply both sides by $z$:
$$
18 = 9z
$$
Divide both sides by 9:
$$
z = \frac{18}{9}
$$
$$
z = 2
$$
Answer: $z = 2$

---

#### 4. $-9 + \frac{36}{a} = -5$
Add 9 to both sides:
$$
\frac{36}{a} = -5 + 9
$$
$$
\frac{36}{a} = 4
$$
Multiply both sides by $a$:
$$
36 = 4a
$$
Divide both sides by 4:
$$
a = \frac{36}{4}
$$
$$
a = 9
$$
Answer: $a = 9$

---

#### 5. $u + 2 = -8$
Subtract 2 from both sides:
$$
u = -8 - 2
$$
$$
u = -10
$$
Answer: $u = -10$

---

#### 6. $2z = 2$
Divide both sides by 2:
$$
z = \frac{2}{2}
$$
$$
z = 1
$$
Answer: $z = 1$

---

#### 7. $-1 - \frac{y}{8} = -7$
Add 1 to both sides:
$$
-\frac{y}{8} = -7 + 1
$$
$$
-\frac{y}{8} = -6
$$
Multiply both sides by $-8$:
$$
y = -6 \cdot (-8)
$$
$$
y = 48
$$
Answer: $y = 48$

---

#### 8. $\frac{8}{u} - (-2) = 6$
Simplify the left side:
$$
\frac{8}{u} + 2 = 6
$$
Subtract 2 from both sides:
$$
\frac{8}{u} = 6 - 2
$$
$$
\frac{8}{u} = 4
$$
Multiply both sides by $u$:
$$
8 = 4u
$$
Divide both sides by 4:
$$
u = \frac{8}{4}
$$
$$
u = 2
$$
Answer: $u = 2$

---

#### 9. $a - 2 = -10$
Add 2 to both sides:
$$
a = -10 + 2
$$
$$
a = -8
$$
Answer: $a = -8$

---

#### 10. $\frac{u}{6} = 3$
Multiply both sides by 6:
$$
u = 3 \cdot 6
$$
$$
u = 18
$$
Answer: $u = 18$

---

#### 11. $10 - \frac{b}{2} = 3$
Subtract 10 from both sides:
$$
-\frac{b}{2} = 3 - 10
$$
$$
-\frac{b}{2} = -7
$$
Multiply both sides by $-2$:
$$
b = -7 \cdot (-2)
$$
$$
b = 14
$$
Answer: $b = 14$

---

#### 12. $\frac{y}{-7} = -7$
Multiply both sides by $-7$:
$$
y = -7 \cdot (-7)
$$
$$
y = 49
$$
Answer: $y = 49$

---

#### 13. $\frac{b}{7} = -5$
Multiply both sides by 7:
$$
b = -5 \cdot 7
$$
$$
b = -35
$$
Answer: $b = -35$

---

#### 14. $\frac{-2}{c} = 2$
Multiply both sides by $c$:
$$
-2 = 2c
$$
Divide both sides by 2:
$$
c = \frac{-2}{2}
$$
$$
c = -1
$$
Answer: $c = -1$

---

#### 15. $\frac{c}{5} + 3 = 8$
Subtract 3 from both sides:
$$
\frac{c}{5} = 8 - 3
$$
$$
\frac{c}{5} = 5
$$
Multiply both sides by 5:
$$
c = 5 \cdot 5
$$
$$
c = 25
$$
Answer: $c = 25$

---

Final Answers:

$$
\boxed{
\begin{aligned}
1. & \ a = -32 \\
2. & \ b = 8 \\
3. & \ z = 2 \\
4. & \ a = 9 \\
5. & \ u = -10 \\
6. & \ z = 1 \\
7. & \ y = 48 \\
8. & \ u = 2 \\
9. & \ a = -8 \\
10. & \ u = 18 \\
11. & \ b = 14 \\
12. & \ y = 49 \\
13. & \ b = -35 \\
14. & \ c = -1 \\
15. & \ c = 25
\end{aligned}
}
$$