-5(1-m)+9=8m+2(2m-5)

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Solution for -5(1-m)+9=8m+2(2m-5) equation:


Simplifying
-5(1 + -1m) + 9 = 8m + 2(2m + -5)
(1 * -5 + -1m * -5) + 9 = 8m + 2(2m + -5)
(-5 + 5m) + 9 = 8m + 2(2m + -5)

Reorder the terms:
-5 + 9 + 5m = 8m + 2(2m + -5)

Combine like terms: -5 + 9 = 4
4 + 5m = 8m + 2(2m + -5)

Reorder the terms:
4 + 5m = 8m + 2(-5 + 2m)
4 + 5m = 8m + (-5 * 2 + 2m * 2)
4 + 5m = 8m + (-10 + 4m)

Reorder the terms:
4 + 5m = -10 + 8m + 4m

Combine like terms: 8m + 4m = 12m
4 + 5m = -10 + 12m

Solving
4 + 5m = -10 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
4 + 5m + -12m = -10 + 12m + -12m

Combine like terms: 5m + -12m = -7m
4 + -7m = -10 + 12m + -12m

Combine like terms: 12m + -12m = 0
4 + -7m = -10 + 0
4 + -7m = -10

Add '-4' to each side of the equation.
4 + -4 + -7m = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -7m = -10 + -4
-7m = -10 + -4

Combine like terms: -10 + -4 = -14
-7m = -14

Divide each side by '-7'.
m = 2

Simplifying
m = 2

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