-8m+83-4(m-3)=9m-(5m-8)-2m+3

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Solution for -8m+83-4(m-3)=9m-(5m-8)-2m+3 equation:


Simplifying
-8m + 83 + -4(m + -3) = 9m + -1(5m + -8) + -2m + 3

Reorder the terms:
-8m + 83 + -4(-3 + m) = 9m + -1(5m + -8) + -2m + 3
-8m + 83 + (-3 * -4 + m * -4) = 9m + -1(5m + -8) + -2m + 3
-8m + 83 + (12 + -4m) = 9m + -1(5m + -8) + -2m + 3

Reorder the terms:
83 + 12 + -8m + -4m = 9m + -1(5m + -8) + -2m + 3

Combine like terms: 83 + 12 = 95
95 + -8m + -4m = 9m + -1(5m + -8) + -2m + 3

Combine like terms: -8m + -4m = -12m
95 + -12m = 9m + -1(5m + -8) + -2m + 3

Reorder the terms:
95 + -12m = 9m + -1(-8 + 5m) + -2m + 3
95 + -12m = 9m + (-8 * -1 + 5m * -1) + -2m + 3
95 + -12m = 9m + (8 + -5m) + -2m + 3

Reorder the terms:
95 + -12m = 8 + 3 + 9m + -5m + -2m

Combine like terms: 8 + 3 = 11
95 + -12m = 11 + 9m + -5m + -2m

Combine like terms: 9m + -5m = 4m
95 + -12m = 11 + 4m + -2m

Combine like terms: 4m + -2m = 2m
95 + -12m = 11 + 2m

Solving
95 + -12m = 11 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
95 + -12m + -2m = 11 + 2m + -2m

Combine like terms: -12m + -2m = -14m
95 + -14m = 11 + 2m + -2m

Combine like terms: 2m + -2m = 0
95 + -14m = 11 + 0
95 + -14m = 11

Add '-95' to each side of the equation.
95 + -95 + -14m = 11 + -95

Combine like terms: 95 + -95 = 0
0 + -14m = 11 + -95
-14m = 11 + -95

Combine like terms: 11 + -95 = -84
-14m = -84

Divide each side by '-14'.
m = 6

Simplifying
m = 6

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