2(3+m)=8m(1+3)

Solution for 2(3+m)=8m(1+3) equation:

Simplifying
2(3 + m) = 8m(1 + 3)
(3 * 2 + m * 2) = 8m(1 + 3)
(6 + 2m) = 8m(1 + 3)

Combine like terms: 1 + 3 = 4
6 + 2m = 8m(4)

Reorder the terms for easier multiplication:
6 + 2m = 8 * 4m

Multiply 8 * 4
6 + 2m = 32m

Solving
6 + 2m = 32m

Solving for variable 'm'.

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

Add '-32m' to each side of the equation.
6 + 2m + -32m = 32m + -32m

Combine like terms: 2m + -32m = -30m
6 + -30m = 32m + -32m

Combine like terms: 32m + -32m = 0
6 + -30m = 0

Add '-6' to each side of the equation.
6 + -6 + -30m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -30m = 0 + -6
-30m = 0 + -6

Combine like terms: 0 + -6 = -6
-30m = -6

Divide each side by '-30'.
m = 0.2

Simplifying
m = 0.2