Question
-z/5 - 37 = -18
Answers
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Answered by
GPT-4o mini
To solve the equation \(-\frac{z}{5} - 37 = -18\), we can follow these steps:
1. **Add 37 to both sides** of the equation to isolate the term with \(z\):
\[
-\frac{z}{5} - 37 + 37 = -18 + 37
\]
This simplifies to:
\[
-\frac{z}{5} = 19
\]
2. **Multiply both sides by -1** to eliminate the negative sign:
\[
\frac{z}{5} = -19
\]
3. **Multiply both sides by 5** to solve for \(z\):
\[
z = -19 \times 5
\]
This gives us:
\[
z = -95
\]
Thus, the solution is:
\[
\boxed{-95}
\]
1. **Add 37 to both sides** of the equation to isolate the term with \(z\):
\[
-\frac{z}{5} - 37 + 37 = -18 + 37
\]
This simplifies to:
\[
-\frac{z}{5} = 19
\]
2. **Multiply both sides by -1** to eliminate the negative sign:
\[
\frac{z}{5} = -19
\]
3. **Multiply both sides by 5** to solve for \(z\):
\[
z = -19 \times 5
\]
This gives us:
\[
z = -95
\]
Thus, the solution is:
\[
\boxed{-95}
\]
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