2(m+4)=3(m-1)

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Solution for 2(m+4)=3(m-1) equation:


Simplifying
2(m + 4) = 3(m + -1)

Reorder the terms:
2(4 + m) = 3(m + -1)
(4 * 2 + m * 2) = 3(m + -1)
(8 + 2m) = 3(m + -1)

Reorder the terms:
8 + 2m = 3(-1 + m)
8 + 2m = (-1 * 3 + m * 3)
8 + 2m = (-3 + 3m)

Solving
8 + 2m = -3 + 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.
8 + 2m + -3m = -3 + 3m + -3m

Combine like terms: 2m + -3m = -1m
8 + -1m = -3 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + -1m = -3 + 0
8 + -1m = -3

Add '-8' to each side of the equation.
8 + -8 + -1m = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = -3 + -8
-1m = -3 + -8

Combine like terms: -3 + -8 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11

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