5n+9=6n+27

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Solution for 5n+9=6n+27 equation:


Simplifying
5n + 9 = 6n + 27

Reorder the terms:
9 + 5n = 6n + 27

Reorder the terms:
9 + 5n = 27 + 6n

Solving
9 + 5n = 27 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
9 + 5n + -6n = 27 + 6n + -6n

Combine like terms: 5n + -6n = -1n
9 + -1n = 27 + 6n + -6n

Combine like terms: 6n + -6n = 0
9 + -1n = 27 + 0
9 + -1n = 27

Add '-9' to each side of the equation.
9 + -9 + -1n = 27 + -9

Combine like terms: 9 + -9 = 0
0 + -1n = 27 + -9
-1n = 27 + -9

Combine like terms: 27 + -9 = 18
-1n = 18

Divide each side by '-1'.
n = -18

Simplifying
n = -18

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