7m+2(3+m)-8=61

Solution for 7m+2(3+m)-8=61 equation:

Simplifying
7m + 2(3 + m) + -8 = 61
7m + (3 * 2 + m * 2) + -8 = 61
7m + (6 + 2m) + -8 = 61

Reorder the terms:
6 + -8 + 7m + 2m = 61

Combine like terms: 6 + -8 = -2
-2 + 7m + 2m = 61

Combine like terms: 7m + 2m = 9m
-2 + 9m = 61

Solving
-2 + 9m = 61

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + 2 + 9m = 61 + 2

Combine like terms: -2 + 2 = 0
0 + 9m = 61 + 2
9m = 61 + 2

Combine like terms: 61 + 2 = 63
9m = 63

Divide each side by '9'.
m = 7

Simplifying
m = 7