2n+16=5n-5

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Solution for 2n+16=5n-5 equation:


Simplifying
2n + 16 = 5n + -5

Reorder the terms:
16 + 2n = 5n + -5

Reorder the terms:
16 + 2n = -5 + 5n

Solving
16 + 2n = -5 + 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.
16 + 2n + -5n = -5 + 5n + -5n

Combine like terms: 2n + -5n = -3n
16 + -3n = -5 + 5n + -5n

Combine like terms: 5n + -5n = 0
16 + -3n = -5 + 0
16 + -3n = -5

Add '-16' to each side of the equation.
16 + -16 + -3n = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3n = -5 + -16
-3n = -5 + -16

Combine like terms: -5 + -16 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7

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