2n+16=3n-6

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Solution for 2n+16=3n-6 equation:


Simplifying
2n + 16 = 3n + -6

Reorder the terms:
16 + 2n = 3n + -6

Reorder the terms:
16 + 2n = -6 + 3n

Solving
16 + 2n = -6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
16 + 2n + -3n = -6 + 3n + -3n

Combine like terms: 2n + -3n = -1n
16 + -1n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -1n = -6 + 0
16 + -1n = -6

Add '-16' to each side of the equation.
16 + -16 + -1n = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = -6 + -16
-1n = -6 + -16

Combine like terms: -6 + -16 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22

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