6(1+3m)=-7(-2m+5)-4

Solution for 6(1+3m)=-7(-2m+5)-4 equation:

Simplifying
6(1 + 3m) = -7(-2m + 5) + -4
(1 * 6 + 3m * 6) = -7(-2m + 5) + -4
(6 + 18m) = -7(-2m + 5) + -4

Reorder the terms:
6 + 18m = -7(5 + -2m) + -4
6 + 18m = (5 * -7 + -2m * -7) + -4
6 + 18m = (-35 + 14m) + -4

Reorder the terms:
6 + 18m = -35 + -4 + 14m

Combine like terms: -35 + -4 = -39
6 + 18m = -39 + 14m

Solving
6 + 18m = -39 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
6 + 18m + -14m = -39 + 14m + -14m

Combine like terms: 18m + -14m = 4m
6 + 4m = -39 + 14m + -14m

Combine like terms: 14m + -14m = 0
6 + 4m = -39 + 0
6 + 4m = -39

Add '-6' to each side of the equation.
6 + -6 + 4m = -39 + -6

Combine like terms: 6 + -6 = 0
0 + 4m = -39 + -6
4m = -39 + -6

Combine like terms: -39 + -6 = -45
4m = -45

Divide each side by '4'.
m = -11.25

Simplifying
m = -11.25