6(m-4m+2)-4+9m=-6+(-2m+6-4m-5)

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


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

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

Combine like terms: m + -4m = -3m
6(2 + -3m) + -4 + 9m = -6 + (-2m + 6 + -4m + -5)
(2 * 6 + -3m * 6) + -4 + 9m = -6 + (-2m + 6 + -4m + -5)
(12 + -18m) + -4 + 9m = -6 + (-2m + 6 + -4m + -5)

Reorder the terms:
12 + -4 + -18m + 9m = -6 + (-2m + 6 + -4m + -5)

Combine like terms: 12 + -4 = 8
8 + -18m + 9m = -6 + (-2m + 6 + -4m + -5)

Combine like terms: -18m + 9m = -9m
8 + -9m = -6 + (-2m + 6 + -4m + -5)

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

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

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

Remove parenthesis around (1 + -6m)
8 + -9m = -6 + 1 + -6m

Combine like terms: -6 + 1 = -5
8 + -9m = -5 + -6m

Solving
8 + -9m = -5 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
8 + -9m + 6m = -5 + -6m + 6m

Combine like terms: -9m + 6m = -3m
8 + -3m = -5 + -6m + 6m

Combine like terms: -6m + 6m = 0
8 + -3m = -5 + 0
8 + -3m = -5

Add '-8' to each side of the equation.
8 + -8 + -3m = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = -5 + -8
-3m = -5 + -8

Combine like terms: -5 + -8 = -13
-3m = -13

Divide each side by '-3'.
m = 4.333333333

Simplifying
m = 4.333333333

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