4(2n+5)+2n=36+8n

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Solution for 4(2n+5)+2n=36+8n equation: 


Simplifying
4(2n + 5) + 2n = 36 + 8n

Reorder the terms:
4(5 + 2n) + 2n = 36 + 8n
(5 * 4 + 2n * 4) + 2n = 36 + 8n
(20 + 8n) + 2n = 36 + 8n

Combine like terms: 8n + 2n = 10n
20 + 10n = 36 + 8n

Solving
20 + 10n = 36 + 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.
20 + 10n + -8n = 36 + 8n + -8n

Combine like terms: 10n + -8n = 2n
20 + 2n = 36 + 8n + -8n

Combine like terms: 8n + -8n = 0
20 + 2n = 36 + 0
20 + 2n = 36

Add '-20' to each side of the equation.
20 + -20 + 2n = 36 + -20

Combine like terms: 20 + -20 = 0
0 + 2n = 36 + -20
2n = 36 + -20

Combine like terms: 36 + -20 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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