8n-16=5n+10

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Solution for 8n-16=5n+10 equation:


Simplifying
8n + -16 = 5n + 10

Reorder the terms:
-16 + 8n = 5n + 10

Reorder the terms:
-16 + 8n = 10 + 5n

Solving
-16 + 8n = 10 + 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 = 10 + 5n + -5n

Combine like terms: 8n + -5n = 3n
-16 + 3n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-16 + 3n = 10 + 0
-16 + 3n = 10

Add '16' to each side of the equation.
-16 + 16 + 3n = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 3n = 10 + 16
3n = 10 + 16

Combine like terms: 10 + 16 = 26
3n = 26

Divide each side by '3'.
n = 8.666666667

Simplifying
n = 8.666666667

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