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

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


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

Reorder the terms:
4(4 + 2n) = (5n + 8) + 5
(4 * 4 + 2n * 4) = (5n + 8) + 5
(16 + 8n) = (5n + 8) + 5

Reorder the terms:
16 + 8n = (8 + 5n) + 5

Remove parenthesis around (8 + 5n)
16 + 8n = 8 + 5n + 5

Reorder the terms:
16 + 8n = 8 + 5 + 5n

Combine like terms: 8 + 5 = 13
16 + 8n = 13 + 5n

Solving
16 + 8n = 13 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
16 + 8n + -5n = 13 + 5n + -5n

Combine like terms: 8n + -5n = 3n
16 + 3n = 13 + 5n + -5n

Combine like terms: 5n + -5n = 0
16 + 3n = 13 + 0
16 + 3n = 13

Add '-16' to each side of the equation.
16 + -16 + 3n = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 3n = 13 + -16
3n = 13 + -16

Combine like terms: 13 + -16 = -3
3n = -3

Divide each side by '3'.
n = -1

Simplifying
n = -1

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