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 = 96
18m = 96

Divide each side by '18'.
m = 5.333333333

Simplifying
m = 5.333333333