-6(m-7)=-6(1+3m)

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

Simplifying
-6(m + -7) = -6(1 + 3m)

Reorder the terms:
-6(-7 + m) = -6(1 + 3m)
(-7 * -6 + m * -6) = -6(1 + 3m)
(42 + -6m) = -6(1 + 3m)
42 + -6m = (1 * -6 + 3m * -6)
42 + -6m = (-6 + -18m)

Solving
42 + -6m = -6 + -18m

Solving for variable 'm'.

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

Add '18m' to each side of the equation.
42 + -6m + 18m = -6 + -18m + 18m

Combine like terms: -6m + 18m = 12m
42 + 12m = -6 + -18m + 18m

Combine like terms: -18m + 18m = 0
42 + 12m = -6 + 0
42 + 12m = -6

Add '-42' to each side of the equation.
42 + -42 + 12m = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 12m = -6 + -42
12m = -6 + -42

Combine like terms: -6 + -42 = -48
12m = -48

Divide each side by '12'.
m = -4

Simplifying
m = -4