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

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


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

Reorder the terms:
-109 = -5(-1 + 3m) + 6
-109 = (-1 * -5 + 3m * -5) + 6
-109 = (5 + -15m) + 6

Reorder the terms:
-109 = 5 + 6 + -15m

Combine like terms: 5 + 6 = 11
-109 = 11 + -15m

Solving
-109 = 11 + -15m

Solving for variable 'm'.

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

Add '15m' to each side of the equation.
-109 + 15m = 11 + -15m + 15m

Combine like terms: -15m + 15m = 0
-109 + 15m = 11 + 0
-109 + 15m = 11

Add '109' to each side of the equation.
-109 + 109 + 15m = 11 + 109

Combine like terms: -109 + 109 = 0
0 + 15m = 11 + 109
15m = 11 + 109

Combine like terms: 11 + 109 = 120
15m = 120

Divide each side by '15'.
m = 8

Simplifying
m = 8

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