-6m+74-9(m-3)=9m-(4m-9)-8m+8

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Solution for -6m+74-9(m-3)=9m-(4m-9)-8m+8 equation: 


Simplifying
-6m + 74 + -9(m + -3) = 9m + -1(4m + -9) + -8m + 8

Reorder the terms:
-6m + 74 + -9(-3 + m) = 9m + -1(4m + -9) + -8m + 8
-6m + 74 + (-3 * -9 + m * -9) = 9m + -1(4m + -9) + -8m + 8
-6m + 74 + (27 + -9m) = 9m + -1(4m + -9) + -8m + 8

Reorder the terms:
74 + 27 + -6m + -9m = 9m + -1(4m + -9) + -8m + 8

Combine like terms: 74 + 27 = 101
101 + -6m + -9m = 9m + -1(4m + -9) + -8m + 8

Combine like terms: -6m + -9m = -15m
101 + -15m = 9m + -1(4m + -9) + -8m + 8

Reorder the terms:
101 + -15m = 9m + -1(-9 + 4m) + -8m + 8
101 + -15m = 9m + (-9 * -1 + 4m * -1) + -8m + 8
101 + -15m = 9m + (9 + -4m) + -8m + 8

Reorder the terms:
101 + -15m = 9 + 8 + 9m + -4m + -8m

Combine like terms: 9 + 8 = 17
101 + -15m = 17 + 9m + -4m + -8m

Combine like terms: 9m + -4m = 5m
101 + -15m = 17 + 5m + -8m

Combine like terms: 5m + -8m = -3m
101 + -15m = 17 + -3m

Solving
101 + -15m = 17 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
101 + -15m + 3m = 17 + -3m + 3m

Combine like terms: -15m + 3m = -12m
101 + -12m = 17 + -3m + 3m

Combine like terms: -3m + 3m = 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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