4n+5+5n=3n+7n+8

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Solution for 4n+5+5n=3n+7n+8 equation: 


Simplifying
4n + 5 + 5n = 3n + 7n + 8

Reorder the terms:
5 + 4n + 5n = 3n + 7n + 8

Combine like terms: 4n + 5n = 9n
5 + 9n = 3n + 7n + 8

Reorder the terms:
5 + 9n = 8 + 3n + 7n

Combine like terms: 3n + 7n = 10n
5 + 9n = 8 + 10n

Solving
5 + 9n = 8 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
5 + 9n + -10n = 8 + 10n + -10n

Combine like terms: 9n + -10n = -1n
5 + -1n = 8 + 10n + -10n

Combine like terms: 10n + -10n = 0
5 + -1n = 8 + 0
5 + -1n = 8

Add '-5' to each side of the equation.
5 + -5 + -1n = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 8 + -5
-1n = 8 + -5

Combine like terms: 8 + -5 = 3
-1n = 3

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

Simplifying
n = -3

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