5n-3=8n+9

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Solution for 5n-3=8n+9 equation:


Simplifying
5n + -3 = 8n + 9

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

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

Solving
-3 + 5n = 9 + 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.
-3 + 5n + -8n = 9 + 8n + -8n

Combine like terms: 5n + -8n = -3n
-3 + -3n = 9 + 8n + -8n

Combine like terms: 8n + -8n = 0
-3 + -3n = 9 + 0
-3 + -3n = 9

Add '3' to each side of the equation.
-3 + 3 + -3n = 9 + 3

Combine like terms: -3 + 3 = 0
0 + -3n = 9 + 3
-3n = 9 + 3

Combine like terms: 9 + 3 = 12
-3n = 12

Divide each side by '-3'.
n = -4

Simplifying
n = -4

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