8(2n+2)=10n+24-2n

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Solution for 8(2n+2)=10n+24-2n equation: 


Simplifying
8(2n + 2) = 10n + 24 + -2n

Reorder the terms:
8(2 + 2n) = 10n + 24 + -2n
(2 * 8 + 2n * 8) = 10n + 24 + -2n
(16 + 16n) = 10n + 24 + -2n

Reorder the terms:
16 + 16n = 24 + 10n + -2n

Combine like terms: 10n + -2n = 8n
16 + 16n = 24 + 8n

Solving
16 + 16n = 24 + 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.
16 + 16n + -8n = 24 + 8n + -8n

Combine like terms: 16n + -8n = 8n
16 + 8n = 24 + 8n + -8n

Combine like terms: 8n + -8n = 0
16 + 8n = 24 + 0
16 + 8n = 24

Add '-16' to each side of the equation.
16 + -16 + 8n = 24 + -16

Combine like terms: 16 + -16 = 0
0 + 8n = 24 + -16
8n = 24 + -16

Combine like terms: 24 + -16 = 8
8n = 8

Divide each side by '8'.
n = 1

Simplifying
n = 1

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