6m-3(m-1)=4(2m+1)

Solution for 6m-3(m-1)=4(2m+1) equation:

Simplifying
6m + -3(m + -1) = 4(2m + 1)

Reorder the terms:
6m + -3(-1 + m) = 4(2m + 1)
6m + (-1 * -3 + m * -3) = 4(2m + 1)
6m + (3 + -3m) = 4(2m + 1)

Reorder the terms:
3 + 6m + -3m = 4(2m + 1)

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

Reorder the terms:
3 + 3m = 4(1 + 2m)
3 + 3m = (1 * 4 + 2m * 4)
3 + 3m = (4 + 8m)

Solving
3 + 3m = 4 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
3 + 3m + -8m = 4 + 8m + -8m

Combine like terms: 3m + -8m = -5m
3 + -5m = 4 + 8m + -8m

Combine like terms: 8m + -8m = 0
3 + -5m = 4 + 0
3 + -5m = 4

Add '-3' to each side of the equation.
3 + -3 + -5m = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -5m = 4 + -3
-5m = 4 + -3

Combine like terms: 4 + -3 = 1
-5m = 1

Divide each side by '-5'.
m = -0.2

Simplifying
m = -0.2