6+m=-3(-2m+3)

Solution for 6+m=-3(-2m+3) equation:

Simplifying
6 + m = -3(-2m + 3)

Reorder the terms:
6 + m = -3(3 + -2m)
6 + m = (3 * -3 + -2m * -3)
6 + m = (-9 + 6m)

Solving
6 + m = -9 + 6m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-6m' to each side of the equation.
6 + m + -6m = -9 + 6m + -6m

Combine like terms: m + -6m = -5m
6 + -5m = -9 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -5m = -9 + 0
6 + -5m = -9

Add '-6' to each side of the equation.
6 + -6 + -5m = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = -9 + -6
-5m = -9 + -6

Combine like terms: -9 + -6 = -15
-5m = -15

Divide each side by '-5'.
m = 3

Simplifying
m = 3