2n+9=5n-9

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


Simplifying
2n + 9 = 5n + -9

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

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

Solving
9 + 2n = -9 + 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.
9 + 2n + -5n = -9 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
9 + -3n = -9 + 0
9 + -3n = -9

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

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

Combine like terms: -9 + -9 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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