5n-16=8n-10

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


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

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

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

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

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

Combine like terms: 8n + -8n = 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 = 6
-3n = 6

Divide each side by '-3'.
n = -2

Simplifying
n = -2

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