6(2m+1)+6m=-102

Solution for 6(2m+1)+6m=-102 equation:

Simplifying
6(2m + 1) + 6m = -102

Reorder the terms:
6(1 + 2m) + 6m = -102
(1 * 6 + 2m * 6) + 6m = -102
(6 + 12m) + 6m = -102

Combine like terms: 12m + 6m = 18m
6 + 18m = -102

Solving
6 + 18m = -102

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 18m = -102 + -6

Combine like terms: 6 + -6 = 0
0 + 18m = -102 + -6
18m = -102 + -6

Combine like terms: -102 + -6 = -108
18m = -108

Divide each side by '18'.
m = -6

Simplifying
m = -6