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

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


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

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

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

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

Solving for variable 'n'.

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

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

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

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

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

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

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

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

Simplifying
n = 4

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