Practice worksheet for Class 8 students featuring ten linear equations to solve for the variable.

Problem: Solve the following linear equations and find the value of the variable.

#### Equations to Solve:
1. \( x - 2 = 7 \)
2. \( y + 3 = 10 \)
3. \( 6 = z + 2 \)
4. \( \frac{3}{7} + x = \frac{17}{7} \)
5. \( 6x = 12 \)
6. \( \frac{t}{5} = 10 \)
7. \( \frac{2x}{3} = 18 \)
8. \( 1.6 = \frac{y}{1.5} \)
9. \( 7x - 9 = 26 \)
10. \( 14y - 8 = 13 \)

---

Solution:

#### 1. \( x - 2 = 7 \)
To solve for \( x \), add 2 to both sides:
\[
x - 2 + 2 = 7 + 2
\]
\[
x = 9
\]

#### 2. \( y + 3 = 10 \)
To solve for \( y \), subtract 3 from both sides:
\[
y + 3 - 3 = 10 - 3
\]
\[
y = 7
\]

#### 3. \( 6 = z + 2 \)
To solve for \( z \), subtract 2 from both sides:
\[
6 - 2 = z + 2 - 2
\]
\[
z = 4
\]

#### 4. \( \frac{3}{7} + x = \frac{17}{7} \)
To solve for \( x \), subtract \( \frac{3}{7} \) from both sides:
\[
\frac{3}{7} + x - \frac{3}{7} = \frac{17}{7} - \frac{3}{7}
\]
\[
x = \frac{14}{7}
\]
\[
x = 2
\]

#### 5. \( 6x = 12 \)
To solve for \( x \), divide both sides by 6:
\[
\frac{6x}{6} = \frac{12}{6}
\]
\[
x = 2
\]

#### 6. \( \frac{t}{5} = 10 \)
To solve for \( t \), multiply both sides by 5:
\[
\frac{t}{5} \cdot 5 = 10 \cdot 5
\]
\[
t = 50
\]

#### 7. \( \frac{2x}{3} = 18 \)
To solve for \( x \), multiply both sides by 3:
\[
\frac{2x}{3} \cdot 3 = 18 \cdot 3
\]
\[
2x = 54
\]
Now, divide both sides by 2:
\[
\frac{2x}{2} = \frac{54}{2}
\]
\[
x = 27
\]

#### 8. \( 1.6 = \frac{y}{1.5} \)
To solve for \( y \), multiply both sides by 1.5:
\[
1.6 \cdot 1.5 = \frac{y}{1.5} \cdot 1.5
\]
\[
y = 2.4
\]

#### 9. \( 7x - 9 = 26 \)
To solve for \( x \), first add 9 to both sides:
\[
7x - 9 + 9 = 26 + 9
\]
\[
7x = 35
\]
Now, divide both sides by 7:
\[
\frac{7x}{7} = \frac{35}{7}
\]
\[
x = 5
\]

#### 10. \( 14y - 8 = 13 \)
To solve for \( y \), first add 8 to both sides:
\[
14y - 8 + 8 = 13 + 8
\]
\[
14y = 21
\]
Now, divide both sides by 14:
\[
\frac{14y}{14} = \frac{21}{14}
\]
\[
y = \frac{3}{2}
\]
\[
y = 1.5
\]

---

Final Answers:

1. \( x = 9 \)
2. \( y = 7 \)
3. \( z = 4 \)
4. \( x = 2 \)
5. \( x = 2 \)
6. \( t = 50 \)
7. \( x = 27 \)
8. \( y = 2.4 \)
9. \( x = 5 \)
10. \( y = 1.5 \)

\[
\boxed{9, 7, 4, 2, 2, 50, 27, 2.4, 5, 1.5}
\]