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

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

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

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

Reorder the terms:
6 + -3m = 6(1 + 4m)
6 + -3m = (1 * 6 + 4m * 6)
6 + -3m = (6 + 24m)

Add '-6' to each side of the equation.
6 + -6 + -3m = 6 + -6 + 24m

Combine like terms: 6 + -6 = 0
0 + -3m = 6 + -6 + 24m
-3m = 6 + -6 + 24m

Combine like terms: 6 + -6 = 0
-3m = 0 + 24m
-3m = 24m

Solving
-3m = 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
-3m + -24m = 24m + -24m

Combine like terms: -3m + -24m = -27m
-27m = 24m + -24m

Combine like terms: 24m + -24m = 0
-27m = 0

Divide each side by '-27'.
m = 0

Simplifying
m = 0