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

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

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

Remove parenthesis around (2m)
3 + 8m = 3 * 2m + -1

Multiply 3 * 2
3 + 8m = 6m + -1

Reorder the terms:
3 + 8m = -1 + 6m

Solving
3 + 8m = -1 + 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.
3 + 8m + -6m = -1 + 6m + -6m

Combine like terms: 8m + -6m = 2m
3 + 2m = -1 + 6m + -6m

Combine like terms: 6m + -6m = 0
3 + 2m = -1 + 0
3 + 2m = -1

Add '-3' to each side of the equation.
3 + -3 + 2m = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = -1 + -3
2m = -1 + -3

Combine like terms: -1 + -3 = -4
2m = -4

Divide each side by '2'.
m = -2

Simplifying
m = -2