109=-6(-3m+1)+5m

Solution for 109=-6(-3m+1)+5m equation:

Simplifying
109 = -6(-3m + 1) + 5m

Reorder the terms:
109 = -6(1 + -3m) + 5m
109 = (1 * -6 + -3m * -6) + 5m
109 = (-6 + 18m) + 5m

Combine like terms: 18m + 5m = 23m
109 = -6 + 23m

Solving
109 = -6 + 23m

Solving for variable 'm'.

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

Add '-23m' to each side of the equation.
109 + -23m = -6 + 23m + -23m

Combine like terms: 23m + -23m = 0
109 + -23m = -6 + 0
109 + -23m = -6

Add '-109' to each side of the equation.
109 + -109 + -23m = -6 + -109

Combine like terms: 109 + -109 = 0
0 + -23m = -6 + -109
-23m = -6 + -109

Combine like terms: -6 + -109 = -115
-23m = -115

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

Simplifying
m = 5