To solve the equation $203 - z = 15z + 11$, we need to isolate the variable $z$. Here's how we do it step by step:
1.
Move all terms with $z$ to one side of the equation and all constant terms to the other side.
- Start with the given equation: $203 - z = 15z + 11$.
- Add $z$ to both sides to move the $-z$ term to the right side:
\[
203 - z + z = 15z + 11 + z
\]
Simplifying this, we get:
\[
203 = 16z + 11
\]
2.
Move the constant term on the right side to the left side.
- Subtract 11 from both sides to move the constant term 11 to the left side:
\[
203 - 11 = 16z + 11 - 11
\]
Simplifying this, we get:
\[
192 = 16z
\]
3.
Isolate $z$ by dividing both sides by 16.
- Divide both sides by 16:
\[
\frac{192}{16} = \frac{16z}{16}
\]
Simplifying this, we get:
\[
z = 12
\]
Final Answer:
\[
z = 12
\]
Parent Tip: Review the logic above to help your child master the concept of math problem algebra 2 equations.
