109=-3(1-3m)+7m

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Solution for 109=-3(1-3m)+7m equation:


Simplifying
109 = -3(1 + -3m) + 7m
109 = (1 * -3 + -3m * -3) + 7m
109 = (-3 + 9m) + 7m

Combine like terms: 9m + 7m = 16m
109 = -3 + 16m

Solving
109 = -3 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
109 + -16m = -3 + 16m + -16m

Combine like terms: 16m + -16m = 0
109 + -16m = -3 + 0
109 + -16m = -3

Add '-109' to each side of the equation.
109 + -109 + -16m = -3 + -109

Combine like terms: 109 + -109 = 0
0 + -16m = -3 + -109
-16m = -3 + -109

Combine like terms: -3 + -109 = -112
-16m = -112

Divide each side by '-16'.
m = 7

Simplifying
m = 7

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