9m-3(m+6)=3(m+1)

Solution for 9m-3(m+6)=3(m+1) equation:

Simplifying
9m + -3(m + 6) = 3(m + 1)

Reorder the terms:
9m + -3(6 + m) = 3(m + 1)
9m + (6 * -3 + m * -3) = 3(m + 1)
9m + (-18 + -3m) = 3(m + 1)

Reorder the terms:
-18 + 9m + -3m = 3(m + 1)

Combine like terms: 9m + -3m = 6m
-18 + 6m = 3(m + 1)

Reorder the terms:
-18 + 6m = 3(1 + m)
-18 + 6m = (1 * 3 + m * 3)
-18 + 6m = (3 + 3m)

Solving
-18 + 6m = 3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-18 + 6m + -3m = 3 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-18 + 3m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
-18 + 3m = 3 + 0
-18 + 3m = 3

Add '18' to each side of the equation.
-18 + 18 + 3m = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 3m = 3 + 18
3m = 3 + 18

Combine like terms: 3 + 18 = 21
3m = 21

Divide each side by '3'.
m = 7

Simplifying
m = 7