109=m+3m+(m-6)

Solution for 109=m+3m+(m-6) equation:

Simplifying
109 = m + 3m + (m + -6)

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

Remove parenthesis around (-6 + m)
109 = m + 3m + -6 + m

Reorder the terms:
109 = -6 + m + 3m + m

Combine like terms: m + 3m = 4m
109 = -6 + 4m + m

Combine like terms: 4m + m = 5m
109 = -6 + 5m

Solving
109 = -6 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
109 + -5m = -6 + 5m + -5m

Combine like terms: 5m + -5m = 0
109 + -5m = -6 + 0
109 + -5m = -6

Add '-109' to each side of the equation.
109 + -109 + -5m = -6 + -109

Combine like terms: 109 + -109 = 0
0 + -5m = -6 + -109
-5m = -6 + -109

Combine like terms: -6 + -109 = -115
-5m = -115

Divide each side by '-5'.
m = 23

Simplifying
m = 23