7m+2(m+3)=m+6+4m

Solution for 7m+2(m+3)=m+6+4m equation:

Simplifying
7m + 2(m + 3) = m + 6 + 4m

Reorder the terms:
7m + 2(3 + m) = m + 6 + 4m
7m + (3 * 2 + m * 2) = m + 6 + 4m
7m + (6 + 2m) = m + 6 + 4m

Reorder the terms:
6 + 7m + 2m = m + 6 + 4m

Combine like terms: 7m + 2m = 9m
6 + 9m = m + 6 + 4m

Reorder the terms:
6 + 9m = 6 + m + 4m

Combine like terms: m + 4m = 5m
6 + 9m = 6 + 5m

Add '-6' to each side of the equation.
6 + -6 + 9m = 6 + -6 + 5m

Combine like terms: 6 + -6 = 0
0 + 9m = 6 + -6 + 5m
9m = 6 + -6 + 5m

Combine like terms: 6 + -6 = 0
9m = 0 + 5m
9m = 5m

Solving
9m = 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
9m + -5m = 5m + -5m

Combine like terms: 9m + -5m = 4m
4m = 5m + -5m

Combine like terms: 5m + -5m = 0
4m = 0

Divide each side by '4'.
m = 0

Simplifying
m = 0