8m-39=-6(-2-3m)+7m

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Solution for 8m-39=-6(-2-3m)+7m equation:


Simplifying
8m + -39 = -6(-2 + -3m) + 7m

Reorder the terms:
-39 + 8m = -6(-2 + -3m) + 7m
-39 + 8m = (-2 * -6 + -3m * -6) + 7m
-39 + 8m = (12 + 18m) + 7m

Combine like terms: 18m + 7m = 25m
-39 + 8m = 12 + 25m

Solving
-39 + 8m = 12 + 25m

Solving for variable 'm'.

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

Add '-25m' to each side of the equation.
-39 + 8m + -25m = 12 + 25m + -25m

Combine like terms: 8m + -25m = -17m
-39 + -17m = 12 + 25m + -25m

Combine like terms: 25m + -25m = 0
-39 + -17m = 12 + 0
-39 + -17m = 12

Add '39' to each side of the equation.
-39 + 39 + -17m = 12 + 39

Combine like terms: -39 + 39 = 0
0 + -17m = 12 + 39
-17m = 12 + 39

Combine like terms: 12 + 39 = 51
-17m = 51

Divide each side by '-17'.
m = -3

Simplifying
m = -3

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