m+(3+m)2=78

Solution for m+(3+m)2=78 equation:

Simplifying
m + (3 + m) * 2 = 78

Reorder the terms for easier multiplication:
m + 2(3 + m) = 78
m + (3 * 2 + m * 2) = 78
m + (6 + 2m) = 78

Reorder the terms:
6 + m + 2m = 78

Combine like terms: m + 2m = 3m
6 + 3m = 78

Solving
6 + 3m = 78

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 + 3m = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 3m = 78 + -6
3m = 78 + -6

Combine like terms: 78 + -6 = 72
3m = 72

Divide each side by '3'.
m = 24

Simplifying
m = 24