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

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


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

Combine like terms: -8m + 7m = -1m
-1m = 3(5m + 8) + -2(-2 + 7m)

Reorder the terms:
-1m = 3(8 + 5m) + -2(-2 + 7m)
-1m = (8 * 3 + 5m * 3) + -2(-2 + 7m)
-1m = (24 + 15m) + -2(-2 + 7m)
-1m = 24 + 15m + (-2 * -2 + 7m * -2)
-1m = 24 + 15m + (4 + -14m)

Reorder the terms:
-1m = 24 + 4 + 15m + -14m

Combine like terms: 24 + 4 = 28
-1m = 28 + 15m + -14m

Combine like terms: 15m + -14m = 1m
-1m = 28 + 1m

Solving
-1m = 28 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-1m + -1m = 28 + 1m + -1m

Combine like terms: -1m + -1m = -2m
-2m = 28 + 1m + -1m

Combine like terms: 1m + -1m = 0
-2m = 28 + 0
-2m = 28

Divide each side by '-2'.
m = -14

Simplifying
m = -14

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