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

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Solution for 5(m-8)+3(4-m)=-32 equation: 


Simplifying
5(m + -8) + 3(4 + -1m) = -32

Reorder the terms:
5(-8 + m) + 3(4 + -1m) = -32
(-8 * 5 + m * 5) + 3(4 + -1m) = -32
(-40 + 5m) + 3(4 + -1m) = -32
-40 + 5m + (4 * 3 + -1m * 3) = -32
-40 + 5m + (12 + -3m) = -32

Reorder the terms:
-40 + 12 + 5m + -3m = -32

Combine like terms: -40 + 12 = -28
-28 + 5m + -3m = -32

Combine like terms: 5m + -3m = 2m
-28 + 2m = -32

Solving
-28 + 2m = -32

Solving for variable 'm'.

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

Add '28' to each side of the equation.
-28 + 28 + 2m = -32 + 28

Combine like terms: -28 + 28 = 0
0 + 2m = -32 + 28
2m = -32 + 28

Combine like terms: -32 + 28 = -4
2m = -4

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

Simplifying
m = -2

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