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

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


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

Reorder the terms:
-4(6 + m) + 2m = 3(m + 2)
(6 * -4 + m * -4) + 2m = 3(m + 2)
(-24 + -4m) + 2m = 3(m + 2)

Combine like terms: -4m + 2m = -2m
-24 + -2m = 3(m + 2)

Reorder the terms:
-24 + -2m = 3(2 + m)
-24 + -2m = (2 * 3 + m * 3)
-24 + -2m = (6 + 3m)

Solving
-24 + -2m = 6 + 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.
-24 + -2m + -3m = 6 + 3m + -3m

Combine like terms: -2m + -3m = -5m
-24 + -5m = 6 + 3m + -3m

Combine like terms: 3m + -3m = 0
-24 + -5m = 6 + 0
-24 + -5m = 6

Add '24' to each side of the equation.
-24 + 24 + -5m = 6 + 24

Combine like terms: -24 + 24 = 0
0 + -5m = 6 + 24
-5m = 6 + 24

Combine like terms: 6 + 24 = 30
-5m = 30

Divide each side by '-5'.
m = -6

Simplifying
m = -6

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