6(1+2m)+m=71

Solution for 6(1+2m)+m=71 equation:

Simplifying
6(1 + 2m) + m = 71
(1 * 6 + 2m * 6) + m = 71
(6 + 12m) + m = 71

Combine like terms: 12m + m = 13m
6 + 13m = 71

Solving
6 + 13m = 71

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 + 13m = 71 + -6

Combine like terms: 6 + -6 = 0
0 + 13m = 71 + -6
13m = 71 + -6

Combine like terms: 71 + -6 = 65
13m = 65

Divide each side by '13'.
m = 5

Simplifying
m = 5