Questions: m/2 - 9 = -21

Transcript text: \[ \frac{m}{2}-9=-21 \]

Solution

Solution Steps

To solve the equation \(\frac{m}{2} - 9 = -21\), we need to isolate the variable \(m\). First, add 9 to both sides of the equation to eliminate the constant term on the left side. Then, multiply both sides by 2 to solve for \(m\).

Step 1: Isolate the variable term

Start with the equation: \[ \frac{m}{2} - 9 = -21 \] Add 9 to both sides to isolate the term with the variable: \[ \frac{m}{2} - 9 + 9 = -21 + 9 \] \[ \frac{m}{2} = -12 \]

Step 2: Solve for \( m \)

Multiply both sides by 2 to solve for \( m \): \[ 2 \cdot \frac{m}{2} = 2 \cdot (-12) \] \[ m = -24 \]