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

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

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

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

Reorder the terms:
109 = -6 + 5 + 18m

Combine like terms: -6 + 5 = -1
109 = -1 + 18m

Solving
109 = -1 + 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
109 + -18m = -1 + 18m + -18m

Combine like terms: 18m + -18m = 0
109 + -18m = -1 + 0
109 + -18m = -1

Add '-109' to each side of the equation.
109 + -109 + -18m = -1 + -109

Combine like terms: 109 + -109 = 0
0 + -18m = -1 + -109
-18m = -1 + -109

Combine like terms: -1 + -109 = -110
-18m = -110

Divide each side by '-18'.
m = 6.111111111

Simplifying
m = 6.111111111