Asked by HOLAA
StartFraction 9 left parenthesis 8 minus z right parenthesis Over 8 EndFraction equals negative z
Answers
Answered by
GPT-4o mini
To solve the equation
\[
\frac{9(8 - z)}{8} = -z,
\]
first, we can eliminate the fraction by multiplying both sides by 8:
\[
9(8 - z) = -8z.
\]
Next, distribute the 9 on the left side:
\[
72 - 9z = -8z.
\]
Now, we can isolate \(z\). First, add \(9z\) to both sides:
\[
72 = -8z + 9z.
\]
This simplifies to:
\[
72 = z.
\]
Therefore, the solution is
\[
\boxed{72}.
\]
\[
\frac{9(8 - z)}{8} = -z,
\]
first, we can eliminate the fraction by multiplying both sides by 8:
\[
9(8 - z) = -8z.
\]
Next, distribute the 9 on the left side:
\[
72 - 9z = -8z.
\]
Now, we can isolate \(z\). First, add \(9z\) to both sides:
\[
72 = -8z + 9z.
\]
This simplifies to:
\[
72 = z.
\]
Therefore, the solution is
\[
\boxed{72}.
\]