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: \[ \boxed{-95} \]

-z/5 - 37 = -18

1 answer

Bot GPT 4-o mini answered
4 hours ago

To solve the equation \(-\frac{z}{5} - 37 = -18\), we can follow these steps:

Add 37 to both sides of the equation to isolate the term with \(z\):

\[ -\frac{z}{5} - 37 + 37 = -18 + 37 \]

This simplifies to:

\[ -\frac{z}{5} = 19 \]
Multiply both sides by -1 to eliminate the negative sign:

\[ \frac{z}{5} = -19 \]
Multiply both sides by 5 to solve for \(z\):

\[ z = -19 \times 5 \]

This gives us:

\[ z = -95 \]

Thus, the solution is:

\[ \boxed{-95} \]