3(M+2)=3(N-4)

Solution for 3(M+2)=3(N-4) equation:

Simplifying
3(M + 2) = 3(N + -4)

Reorder the terms:
3(2 + M) = 3(N + -4)
(2 * 3 + M * 3) = 3(N + -4)
(6 + 3M) = 3(N + -4)

Reorder the terms:
6 + 3M = 3(-4 + N)
6 + 3M = (-4 * 3 + N * 3)
6 + 3M = (-12 + 3N)

Solving
6 + 3M = -12 + 3N

Solving for variable 'M'.

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

Add '-6' to each side of the equation.
6 + -6 + 3M = -12 + -6 + 3N

Combine like terms: 6 + -6 = 0
0 + 3M = -12 + -6 + 3N
3M = -12 + -6 + 3N

Combine like terms: -12 + -6 = -18
3M = -18 + 3N

Divide each side by '3'.
M = -6 + N

Simplifying
M = -6 + N