5n-8=8n+16

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Solution for 5n-8=8n+16 equation:


Simplifying
5n + -8 = 8n + 16

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

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

Solving
-8 + 5n = 16 + 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.
-8 + 5n + -8n = 16 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
-8 + -3n = 16 + 0
-8 + -3n = 16

Add '8' to each side of the equation.
-8 + 8 + -3n = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -3n = 16 + 8
-3n = 16 + 8

Combine like terms: 16 + 8 = 24
-3n = 24

Divide each side by '-3'.
n = -8

Simplifying
n = -8

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