12m+6(m+1)=3(3m+11)

Solution for 12m+6(m+1)=3(3m+11) equation:

Simplifying
12m + 6(m + 1) = 3(3m + 11)

Reorder the terms:
12m + 6(1 + m) = 3(3m + 11)
12m + (1 * 6 + m * 6) = 3(3m + 11)
12m + (6 + 6m) = 3(3m + 11)

Reorder the terms:
6 + 12m + 6m = 3(3m + 11)

Combine like terms: 12m + 6m = 18m
6 + 18m = 3(3m + 11)

Reorder the terms:
6 + 18m = 3(11 + 3m)
6 + 18m = (11 * 3 + 3m * 3)
6 + 18m = (33 + 9m)

Solving
6 + 18m = 33 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
6 + 18m + -9m = 33 + 9m + -9m

Combine like terms: 18m + -9m = 9m
6 + 9m = 33 + 9m + -9m

Combine like terms: 9m + -9m = 0
6 + 9m = 33 + 0
6 + 9m = 33

Add '-6' to each side of the equation.
6 + -6 + 9m = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 9m = 33 + -6
9m = 33 + -6

Combine like terms: 33 + -6 = 27
9m = 27

Divide each side by '9'.
m = 3

Simplifying
m = 3