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

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


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

Reorder the terms:
(5 + 4n) = (8n + -5)

Remove parenthesis around (5 + 4n)
5 + 4n = (8n + -5)

Reorder the terms:
5 + 4n = (-5 + 8n)

Remove parenthesis around (-5 + 8n)
5 + 4n = -5 + 8n

Solving
5 + 4n = -5 + 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.
5 + 4n + -8n = -5 + 8n + -8n

Combine like terms: 4n + -8n = -4n
5 + -4n = -5 + 8n + -8n

Combine like terms: 8n + -8n = 0
5 + -4n = -5 + 0
5 + -4n = -5

Add '-5' to each side of the equation.
5 + -5 + -4n = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -4n = -5 + -5
-4n = -5 + -5

Combine like terms: -5 + -5 = -10
-4n = -10

Divide each side by '-4'.
n = 2.5

Simplifying
n = 2.5

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