-4m+59-7(m-6)=9m-(5m-9)-3m+8

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Solution for -4m+59-7(m-6)=9m-(5m-9)-3m+8 equation: 


Simplifying
-4m + 59 + -7(m + -6) = 9m + -1(5m + -9) + -3m + 8

Reorder the terms:
-4m + 59 + -7(-6 + m) = 9m + -1(5m + -9) + -3m + 8
-4m + 59 + (-6 * -7 + m * -7) = 9m + -1(5m + -9) + -3m + 8
-4m + 59 + (42 + -7m) = 9m + -1(5m + -9) + -3m + 8

Reorder the terms:
59 + 42 + -4m + -7m = 9m + -1(5m + -9) + -3m + 8

Combine like terms: 59 + 42 = 101
101 + -4m + -7m = 9m + -1(5m + -9) + -3m + 8

Combine like terms: -4m + -7m = -11m
101 + -11m = 9m + -1(5m + -9) + -3m + 8

Reorder the terms:
101 + -11m = 9m + -1(-9 + 5m) + -3m + 8
101 + -11m = 9m + (-9 * -1 + 5m * -1) + -3m + 8
101 + -11m = 9m + (9 + -5m) + -3m + 8

Reorder the terms:
101 + -11m = 9 + 8 + 9m + -5m + -3m

Combine like terms: 9 + 8 = 17
101 + -11m = 17 + 9m + -5m + -3m

Combine like terms: 9m + -5m = 4m
101 + -11m = 17 + 4m + -3m

Combine like terms: 4m + -3m = 1m
101 + -11m = 17 + 1m

Solving
101 + -11m = 17 + 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.
101 + -11m + -1m = 17 + 1m + -1m

Combine like terms: -11m + -1m = -12m
101 + -12m = 17 + 1m + -1m

Combine like terms: 1m + -1m = 0
101 + -12m = 17 + 0
101 + -12m = 17

Add '-101' to each side of the equation.
101 + -101 + -12m = 17 + -101

Combine like terms: 101 + -101 = 0
0 + -12m = 17 + -101
-12m = 17 + -101

Combine like terms: 17 + -101 = -84
-12m = -84

Divide each side by '-12'.
m = 7

Simplifying
m = 7

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