11(2m+2)-6=4(3m-2)

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Solution for 11(2m+2)-6=4(3m-2) equation: 


Simplifying
11(2m + 2) + -6 = 4(3m + -2)

Reorder the terms:
11(2 + 2m) + -6 = 4(3m + -2)
(2 * 11 + 2m * 11) + -6 = 4(3m + -2)
(22 + 22m) + -6 = 4(3m + -2)

Reorder the terms:
22 + -6 + 22m = 4(3m + -2)

Combine like terms: 22 + -6 = 16
16 + 22m = 4(3m + -2)

Reorder the terms:
16 + 22m = 4(-2 + 3m)
16 + 22m = (-2 * 4 + 3m * 4)
16 + 22m = (-8 + 12m)

Solving
16 + 22m = -8 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
16 + 22m + -12m = -8 + 12m + -12m

Combine like terms: 22m + -12m = 10m
16 + 10m = -8 + 12m + -12m

Combine like terms: 12m + -12m = 0
16 + 10m = -8 + 0
16 + 10m = -8

Add '-16' to each side of the equation.
16 + -16 + 10m = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 10m = -8 + -16
10m = -8 + -16

Combine like terms: -8 + -16 = -24
10m = -24

Divide each side by '10'.
m = -2.4

Simplifying
m = -2.4

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