2(3m+1)+7(m+2)=

Solution for 2(3m+1)+7(m+2)= equation:

Simplifying
2(3m + 1) + 7(m + 2) = 0

Reorder the terms:
2(1 + 3m) + 7(m + 2) = 0
(1 * 2 + 3m * 2) + 7(m + 2) = 0
(2 + 6m) + 7(m + 2) = 0

Reorder the terms:
2 + 6m + 7(2 + m) = 0
2 + 6m + (2 * 7 + m * 7) = 0
2 + 6m + (14 + 7m) = 0

Reorder the terms:
2 + 14 + 6m + 7m = 0

Combine like terms: 2 + 14 = 16
16 + 6m + 7m = 0

Combine like terms: 6m + 7m = 13m
16 + 13m = 0

Solving
16 + 13m = 0

Solving for variable 'm'.

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

Add '-16' to each side of the equation.
16 + -16 + 13m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 13m = 0 + -16
13m = 0 + -16

Combine like terms: 0 + -16 = -16
13m = -16

Divide each side by '13'.
m = -1.230769231

Simplifying
m = -1.230769231