9m-3(m+6)2=(m+1)

Solution for 9m-3(m+6)2=(m+1) equation:

Simplifying
9m + -3(m + 6) * 2 = (m + 1)

Reorder the terms:
9m + -3(6 + m) * 2 = (m + 1)

Reorder the terms for easier multiplication:
9m + -3 * 2(6 + m) = (m + 1)

Multiply -3 * 2
9m + -6(6 + m) = (m + 1)
9m + (6 * -6 + m * -6) = (m + 1)
9m + (-36 + -6m) = (m + 1)

Reorder the terms:
-36 + 9m + -6m = (m + 1)

Combine like terms: 9m + -6m = 3m
-36 + 3m = (m + 1)

Reorder the terms:
-36 + 3m = (1 + m)

Remove parenthesis around (1 + m)
-36 + 3m = 1 + m

Solving
-36 + 3m = 1 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-36 + 3m + -1m = 1 + m + -1m

Combine like terms: 3m + -1m = 2m
-36 + 2m = 1 + m + -1m

Combine like terms: m + -1m = 0
-36 + 2m = 1 + 0
-36 + 2m = 1

Add '36' to each side of the equation.
-36 + 36 + 2m = 1 + 36

Combine like terms: -36 + 36 = 0
0 + 2m = 1 + 36
2m = 1 + 36

Combine like terms: 1 + 36 = 37
2m = 37

Divide each side by '2'.
m = 18.5

Simplifying
m = 18.5