32+2n=8(-6+n)+4n

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Solution for 32+2n=8(-6+n)+4n equation: 


Simplifying
32 + 2n = 8(-6 + n) + 4n
32 + 2n = (-6 * 8 + n * 8) + 4n
32 + 2n = (-48 + 8n) + 4n

Combine like terms: 8n + 4n = 12n
32 + 2n = -48 + 12n

Solving
32 + 2n = -48 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
32 + 2n + -12n = -48 + 12n + -12n

Combine like terms: 2n + -12n = -10n
32 + -10n = -48 + 12n + -12n

Combine like terms: 12n + -12n = 0
32 + -10n = -48 + 0
32 + -10n = -48

Add '-32' to each side of the equation.
32 + -32 + -10n = -48 + -32

Combine like terms: 32 + -32 = 0
0 + -10n = -48 + -32
-10n = -48 + -32

Combine like terms: -48 + -32 = -80
-10n = -80

Divide each side by '-10'.
n = 8

Simplifying
n = 8

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