2(3+4m)=16-2m

Solution for 2(3+4m)=16-2m equation:

Simplifying
2(3 + 4m) = 16 + -2m
(3 * 2 + 4m * 2) = 16 + -2m
(6 + 8m) = 16 + -2m

Solving
6 + 8m = 16 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
6 + 8m + 2m = 16 + -2m + 2m

Combine like terms: 8m + 2m = 10m
6 + 10m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0
6 + 10m = 16 + 0
6 + 10m = 16

Add '-6' to each side of the equation.
6 + -6 + 10m = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 10m = 16 + -6
10m = 16 + -6

Combine like terms: 16 + -6 = 10
10m = 10

Divide each side by '10'.
m = 1

Simplifying
m = 1