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

Solution for 6(m-1)=3(3m+8) equation:

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

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

Reorder the terms:
-6 + 6m = 3(8 + 3m)
-6 + 6m = (8 * 3 + 3m * 3)
-6 + 6m = (24 + 9m)

Solving
-6 + 6m = 24 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-6 + 6m + -9m = 24 + 9m + -9m

Combine like terms: 6m + -9m = -3m
-6 + -3m = 24 + 9m + -9m

Combine like terms: 9m + -9m = 0
-6 + -3m = 24 + 0
-6 + -3m = 24

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

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

Combine like terms: 24 + 6 = 30
-3m = 30

Divide each side by '-3'.
m = -10

Simplifying
m = -10