6n+9=5n-2

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


Simplifying
6n + 9 = 5n + -2

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

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

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

Combine like terms: 6n + -5n = 1n
9 + 1n = -2 + 5n + -5n

Combine like terms: 5n + -5n = 0
9 + 1n = -2 + 0
9 + 1n = -2

Add '-9' to each side of the equation.
9 + -9 + 1n = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 1n = -2 + -9
1n = -2 + -9

Combine like terms: -2 + -9 = -11
1n = -11

Divide each side by '1'.
n = -11

Simplifying
n = -11

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