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

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

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

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

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

Combine like terms: 9m + -1m = 8m
-6 + 8m = 3(m + 1)

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

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

Combine like terms: 8m + -3m = 5m
-6 + 5m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
-6 + 5m = 3 + 0
-6 + 5m = 3

Add '6' to each side of the equation.
-6 + 6 + 5m = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 5m = 3 + 6
5m = 3 + 6

Combine like terms: 3 + 6 = 9
5m = 9

Divide each side by '5'.
m = 1.8

Simplifying
m = 1.8