7m+3(m+2)=-14

Solution for 7m+3(m+2)=-14 equation:

Simplifying
7m + 3(m + 2) = -14

Reorder the terms:
7m + 3(2 + m) = -14
7m + (2 * 3 + m * 3) = -14
7m + (6 + 3m) = -14

Reorder the terms:
6 + 7m + 3m = -14

Combine like terms: 7m + 3m = 10m
6 + 10m = -14

Solving
6 + 10m = -14

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 + 10m = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 10m = -14 + -6
10m = -14 + -6

Combine like terms: -14 + -6 = -20
10m = -20

Divide each side by '10'.
m = -2

Simplifying
m = -2