5(3m-7)-2(-8+7m)=13-3(6-5m)

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Solution for 5(3m-7)-2(-8+7m)=13-3(6-5m) equation:


Simplifying
5(3m + -7) + -2(-8 + 7m) = 13 + -3(6 + -5m)

Reorder the terms:
5(-7 + 3m) + -2(-8 + 7m) = 13 + -3(6 + -5m)
(-7 * 5 + 3m * 5) + -2(-8 + 7m) = 13 + -3(6 + -5m)
(-35 + 15m) + -2(-8 + 7m) = 13 + -3(6 + -5m)
-35 + 15m + (-8 * -2 + 7m * -2) = 13 + -3(6 + -5m)
-35 + 15m + (16 + -14m) = 13 + -3(6 + -5m)

Reorder the terms:
-35 + 16 + 15m + -14m = 13 + -3(6 + -5m)

Combine like terms: -35 + 16 = -19
-19 + 15m + -14m = 13 + -3(6 + -5m)

Combine like terms: 15m + -14m = 1m
-19 + 1m = 13 + -3(6 + -5m)
-19 + 1m = 13 + (6 * -3 + -5m * -3)
-19 + 1m = 13 + (-18 + 15m)

Combine like terms: 13 + -18 = -5
-19 + 1m = -5 + 15m

Solving
-19 + 1m = -5 + 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.
-19 + 1m + -15m = -5 + 15m + -15m

Combine like terms: 1m + -15m = -14m
-19 + -14m = -5 + 15m + -15m

Combine like terms: 15m + -15m = 0
-19 + -14m = -5 + 0
-19 + -14m = -5

Add '19' to each side of the equation.
-19 + 19 + -14m = -5 + 19

Combine like terms: -19 + 19 = 0
0 + -14m = -5 + 19
-14m = -5 + 19

Combine like terms: -5 + 19 = 14
-14m = 14

Divide each side by '-14'.
m = -1

Simplifying
m = -1

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