Solve for m.

Question

3=
–
2(m+8)–11
m=

Answer 1

To solve the equation \( 3 = -2(m + 8) - 11 \), follow these steps:

1. Start by simplifying the equation. Distribute the \(-2\) on the right side: \[ 3 = -2m - 16 - 11 \]

2. Combine like terms on the right side: \[ 3 = -2m - 27 \]

3. Next, isolate the term with \(m\) by adding \(27\) to both sides: \[ 3 + 27 = -2m \] \[ 30 = -2m \]

4. Now, divide both sides by \(-2\) to solve for \(m\): \[ m = \frac{30}{-2} \] \[ m = -15 \]

So, the solution is: \[ m = -15 \]