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

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

Simplifying
6(7 + -3m) + 6(m + 1) = 0
(7 * 6 + -3m * 6) + 6(m + 1) = 0
(42 + -18m) + 6(m + 1) = 0

Reorder the terms:
42 + -18m + 6(1 + m) = 0
42 + -18m + (1 * 6 + m * 6) = 0
42 + -18m + (6 + 6m) = 0

Reorder the terms:
42 + 6 + -18m + 6m = 0

Combine like terms: 42 + 6 = 48
48 + -18m + 6m = 0

Combine like terms: -18m + 6m = -12m
48 + -12m = 0

Solving
48 + -12m = 0

Solving for variable 'm'.

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

Add '-48' to each side of the equation.
48 + -48 + -12m = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12m = 0 + -48
-12m = 0 + -48

Combine like terms: 0 + -48 = -48
-12m = -48

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

Simplifying
m = 4