Question

Solve the equation if possible. $$ -2 m=16 m-9 $$

Short answer

The solution to the equation -2m = 16m - 9 is \( m = \frac{1}{2} \)

Step-by-step solution

Simplify the equation by getting all terms with m on one side

Add 2m on both sides of the equation: \[ -2m + 2m = 16m - 9 + 2m \], which leads to \[ 0 = 18m - 9 \]

Isolate the term with the variable m

Add 9 on both sides of the equation: \[ 0 + 9 = 18m - 9 + 9 \], leading to: \[ 9 = 18m \]

Solve for m

Divide both sides by 18: \[ \frac{9}{18} = \frac{18m}{18} \] leading to \[ m = \frac{1}{2} \]