6m+3(m+2)=-(2m+7)

Solution for 6m+3(m+2)=-(2m+7) equation:

Simplifying
6m + 3(m + 2) = -1(2m + 7)

Reorder the terms:
6m + 3(2 + m) = -1(2m + 7)
6m + (2 * 3 + m * 3) = -1(2m + 7)
6m + (6 + 3m) = -1(2m + 7)

Reorder the terms:
6 + 6m + 3m = -1(2m + 7)

Combine like terms: 6m + 3m = 9m
6 + 9m = -1(2m + 7)

Reorder the terms:
6 + 9m = -1(7 + 2m)
6 + 9m = (7 * -1 + 2m * -1)
6 + 9m = (-7 + -2m)

Solving
6 + 9m = -7 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
6 + 9m + 2m = -7 + -2m + 2m

Combine like terms: 9m + 2m = 11m
6 + 11m = -7 + -2m + 2m

Combine like terms: -2m + 2m = 0
6 + 11m = -7 + 0
6 + 11m = -7

Add '-6' to each side of the equation.
6 + -6 + 11m = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 11m = -7 + -6
11m = -7 + -6

Combine like terms: -7 + -6 = -13
11m = -13

Divide each side by '11'.
m = -1.181818182

Simplifying
m = -1.181818182