5n-6=2n-9

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Solution for 5n-6=2n-9 equation:


Simplifying
5n + -6 = 2n + -9

Reorder the terms:
-6 + 5n = 2n + -9

Reorder the terms:
-6 + 5n = -9 + 2n

Solving
-6 + 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.
-6 + 5n + -2n = -9 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-6 + 3n = -9 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 3n = -9 + 0
-6 + 3n = -9

Add '6' to each side of the equation.
-6 + 6 + 3n = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = -9 + 6
3n = -9 + 6

Combine like terms: -9 + 6 = -3
3n = -3

Divide each side by '3'.
n = -1

Simplifying
n = -1

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