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

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


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

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

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

Combine like terms: -24 + 2 = -22
-22 + -4m = 3(m + 2)

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

Solving
-22 + -4m = 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.
-22 + -4m + -3m = 6 + 3m + -3m

Combine like terms: -4m + -3m = -7m
-22 + -7m = 6 + 3m + -3m

Combine like terms: 3m + -3m = 0
-22 + -7m = 6 + 0
-22 + -7m = 6

Add '22' to each side of the equation.
-22 + 22 + -7m = 6 + 22

Combine like terms: -22 + 22 = 0
0 + -7m = 6 + 22
-7m = 6 + 22

Combine like terms: 6 + 22 = 28
-7m = 28

Divide each side by '-7'.
m = -4

Simplifying
m = -4

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