5n+12=9n-16-12

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Solution for 5n+12=9n-16-12 equation:


Simplifying
5n + 12 = 9n + -16 + -12

Reorder the terms:
12 + 5n = 9n + -16 + -12

Reorder the terms:
12 + 5n = -16 + -12 + 9n

Combine like terms: -16 + -12 = -28
12 + 5n = -28 + 9n

Solving
12 + 5n = -28 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
12 + 5n + -9n = -28 + 9n + -9n

Combine like terms: 5n + -9n = -4n
12 + -4n = -28 + 9n + -9n

Combine like terms: 9n + -9n = 0
12 + -4n = -28 + 0
12 + -4n = -28

Add '-12' to each side of the equation.
12 + -12 + -4n = -28 + -12

Combine like terms: 12 + -12 = 0
0 + -4n = -28 + -12
-4n = -28 + -12

Combine like terms: -28 + -12 = -40
-4n = -40

Divide each side by '-4'.
n = 10

Simplifying
n = 10

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