5(m-2)-3(2-m)=32

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Solution for 5(m-2)-3(2-m)=32 equation: 


Simplifying
5(m + -2) + -3(2 + -1m) = 32

Reorder the terms:
5(-2 + m) + -3(2 + -1m) = 32
(-2 * 5 + m * 5) + -3(2 + -1m) = 32
(-10 + 5m) + -3(2 + -1m) = 32
-10 + 5m + (2 * -3 + -1m * -3) = 32
-10 + 5m + (-6 + 3m) = 32

Reorder the terms:
-10 + -6 + 5m + 3m = 32

Combine like terms: -10 + -6 = -16
-16 + 5m + 3m = 32

Combine like terms: 5m + 3m = 8m
-16 + 8m = 32

Solving
-16 + 8m = 32

Solving for variable 'm'.

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

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

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

Combine like terms: 32 + 16 = 48
8m = 48

Divide each side by '8'.
m = 6

Simplifying
m = 6

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