-4m+27-6(m-1)=6m-(9m-5)-2m+8

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Solution for -4m+27-6(m-1)=6m-(9m-5)-2m+8 equation: 


Simplifying
-4m + 27 + -6(m + -1) = 6m + -1(9m + -5) + -2m + 8

Reorder the terms:
-4m + 27 + -6(-1 + m) = 6m + -1(9m + -5) + -2m + 8
-4m + 27 + (-1 * -6 + m * -6) = 6m + -1(9m + -5) + -2m + 8
-4m + 27 + (6 + -6m) = 6m + -1(9m + -5) + -2m + 8

Reorder the terms:
27 + 6 + -4m + -6m = 6m + -1(9m + -5) + -2m + 8

Combine like terms: 27 + 6 = 33
33 + -4m + -6m = 6m + -1(9m + -5) + -2m + 8

Combine like terms: -4m + -6m = -10m
33 + -10m = 6m + -1(9m + -5) + -2m + 8

Reorder the terms:
33 + -10m = 6m + -1(-5 + 9m) + -2m + 8
33 + -10m = 6m + (-5 * -1 + 9m * -1) + -2m + 8
33 + -10m = 6m + (5 + -9m) + -2m + 8

Reorder the terms:
33 + -10m = 5 + 8 + 6m + -9m + -2m

Combine like terms: 5 + 8 = 13
33 + -10m = 13 + 6m + -9m + -2m

Combine like terms: 6m + -9m = -3m
33 + -10m = 13 + -3m + -2m

Combine like terms: -3m + -2m = -5m
33 + -10m = 13 + -5m

Solving
33 + -10m = 13 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
33 + -10m + 5m = 13 + -5m + 5m

Combine like terms: -10m + 5m = -5m
33 + -5m = 13 + -5m + 5m

Combine like terms: -5m + 5m = 0
33 + -5m = 13 + 0
33 + -5m = 13

Add '-33' to each side of the equation.
33 + -33 + -5m = 13 + -33

Combine like terms: 33 + -33 = 0
0 + -5m = 13 + -33
-5m = 13 + -33

Combine like terms: 13 + -33 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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