-8m+112-7(m-1)=5m-(2m-5)-3m+9

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Solution for -8m+112-7(m-1)=5m-(2m-5)-3m+9 equation:


Simplifying
-8m + 112 + -7(m + -1) = 5m + -1(2m + -5) + -3m + 9

Reorder the terms:
-8m + 112 + -7(-1 + m) = 5m + -1(2m + -5) + -3m + 9
-8m + 112 + (-1 * -7 + m * -7) = 5m + -1(2m + -5) + -3m + 9
-8m + 112 + (7 + -7m) = 5m + -1(2m + -5) + -3m + 9

Reorder the terms:
112 + 7 + -8m + -7m = 5m + -1(2m + -5) + -3m + 9

Combine like terms: 112 + 7 = 119
119 + -8m + -7m = 5m + -1(2m + -5) + -3m + 9

Combine like terms: -8m + -7m = -15m
119 + -15m = 5m + -1(2m + -5) + -3m + 9

Reorder the terms:
119 + -15m = 5m + -1(-5 + 2m) + -3m + 9
119 + -15m = 5m + (-5 * -1 + 2m * -1) + -3m + 9
119 + -15m = 5m + (5 + -2m) + -3m + 9

Reorder the terms:
119 + -15m = 5 + 9 + 5m + -2m + -3m

Combine like terms: 5 + 9 = 14
119 + -15m = 14 + 5m + -2m + -3m

Combine like terms: 5m + -2m = 3m
119 + -15m = 14 + 3m + -3m

Combine like terms: 3m + -3m = 0
119 + -15m = 14 + 0
119 + -15m = 14

Solving
119 + -15m = 14

Solving for variable 'm'.

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

Add '-119' to each side of the equation.
119 + -119 + -15m = 14 + -119

Combine like terms: 119 + -119 = 0
0 + -15m = 14 + -119
-15m = 14 + -119

Combine like terms: 14 + -119 = -105
-15m = -105

Divide each side by '-15'.
m = 7

Simplifying
m = 7

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