6=3(m+5)+3(m+3)

Solution for 6=3(m+5)+3(m+3) equation:

Simplifying
6 = 3(m + 5) + 3(m + 3)

Reorder the terms:
6 = 3(5 + m) + 3(m + 3)
6 = (5 * 3 + m * 3) + 3(m + 3)
6 = (15 + 3m) + 3(m + 3)

Reorder the terms:
6 = 15 + 3m + 3(3 + m)
6 = 15 + 3m + (3 * 3 + m * 3)
6 = 15 + 3m + (9 + 3m)

Reorder the terms:
6 = 15 + 9 + 3m + 3m

Combine like terms: 15 + 9 = 24
6 = 24 + 3m + 3m

Combine like terms: 3m + 3m = 6m
6 = 24 + 6m

Solving
6 = 24 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
6 + -6m = 24 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -6m = 24 + 0
6 + -6m = 24

Add '-6' to each side of the equation.
6 + -6 + -6m = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -6m = 24 + -6
-6m = 24 + -6

Combine like terms: 24 + -6 = 18
-6m = 18

Divide each side by '-6'.
m = -3

Simplifying
m = -3