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

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


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

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

Combine like terms: 4m + -2m = 2m
12 + 2m = 3(m + -2)

Reorder the terms:
12 + 2m = 3(-2 + m)
12 + 2m = (-2 * 3 + m * 3)
12 + 2m = (-6 + 3m)

Solving
12 + 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.
12 + 2m + -3m = -6 + 3m + -3m

Combine like terms: 2m + -3m = -1m
12 + -1m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
12 + -1m = -6 + 0
12 + -1m = -6

Add '-12' to each side of the equation.
12 + -12 + -1m = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -1m = -6 + -12
-1m = -6 + -12

Combine like terms: -6 + -12 = -18
-1m = -18

Divide each side by '-1'.
m = 18

Simplifying
m = 18

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