2(m+8)=4(m-3)

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Solution for 2(m+8)=4(m-3) equation: 


Simplifying
2(m + 8) = 4(m + -3)

Reorder the terms:
2(8 + m) = 4(m + -3)
(8 * 2 + m * 2) = 4(m + -3)
(16 + 2m) = 4(m + -3)

Reorder the terms:
16 + 2m = 4(-3 + m)
16 + 2m = (-3 * 4 + m * 4)
16 + 2m = (-12 + 4m)

Solving
16 + 2m = -12 + 4m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-4m' to each side of the equation.
16 + 2m + -4m = -12 + 4m + -4m

Combine like terms: 2m + -4m = -2m
16 + -2m = -12 + 4m + -4m

Combine like terms: 4m + -4m = 0
16 + -2m = -12 + 0
16 + -2m = -12

Add '-16' to each side of the equation.
16 + -16 + -2m = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -2m = -12 + -16
-2m = -12 + -16

Combine like terms: -12 + -16 = -28
-2m = -28

Divide each side by '-2'.
m = 14

Simplifying
m = 14

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