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

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


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

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

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

Reorder the terms:
16 + 2m = 3(-3 + m)
16 + 2m = (-3 * 3 + m * 3)
16 + 2m = (-9 + 3m)

Solving
16 + 2m = -9 + 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.
16 + 2m + -3m = -9 + 3m + -3m

Combine like terms: 2m + -3m = -1m
16 + -1m = -9 + 3m + -3m

Combine like terms: 3m + -3m = 0
16 + -1m = -9 + 0
16 + -1m = -9

Add '-16' to each side of the equation.
16 + -16 + -1m = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -1m = -9 + -16
-1m = -9 + -16

Combine like terms: -9 + -16 = -25
-1m = -25

Divide each side by '-1'.
m = 25

Simplifying
m = 25

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