4(8-3m)=32-8(m+2)

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Solution for 4(8-3m)=32-8(m+2) equation: 


Simplifying
4(8 + -3m) = 32 + -8(m + 2)
(8 * 4 + -3m * 4) = 32 + -8(m + 2)
(32 + -12m) = 32 + -8(m + 2)

Reorder the terms:
32 + -12m = 32 + -8(2 + m)
32 + -12m = 32 + (2 * -8 + m * -8)
32 + -12m = 32 + (-16 + -8m)

Combine like terms: 32 + -16 = 16
32 + -12m = 16 + -8m

Solving
32 + -12m = 16 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
32 + -12m + 8m = 16 + -8m + 8m

Combine like terms: -12m + 8m = -4m
32 + -4m = 16 + -8m + 8m

Combine like terms: -8m + 8m = 0
32 + -4m = 16 + 0
32 + -4m = 16

Add '-32' to each side of the equation.
32 + -32 + -4m = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -4m = 16 + -32
-4m = 16 + -32

Combine like terms: 16 + -32 = -16
-4m = -16

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

Simplifying
m = 4

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