5n-15=2n+9

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Solution for 5n-15=2n+9 equation:


Simplifying
5n + -15 = 2n + 9

Reorder the terms:
-15 + 5n = 2n + 9

Reorder the terms:
-15 + 5n = 9 + 2n

Solving
-15 + 5n = 9 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-15 + 5n + -2n = 9 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-15 + 3n = 9 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 3n = 9 + 0
-15 + 3n = 9

Add '15' to each side of the equation.
-15 + 15 + 3n = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = 9 + 15
3n = 9 + 15

Combine like terms: 9 + 15 = 24
3n = 24

Divide each side by '3'.
n = 8

Simplifying
n = 8

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