5n+16=3(n+6)

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Solution for 5n+16=3(n+6) equation: 


Simplifying
5n + 16 = 3(n + 6)

Reorder the terms:
16 + 5n = 3(n + 6)

Reorder the terms:
16 + 5n = 3(6 + n)
16 + 5n = (6 * 3 + n * 3)
16 + 5n = (18 + 3n)

Solving
16 + 5n = 18 + 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 + 5n + -3n = 18 + 3n + -3n

Combine like terms: 5n + -3n = 2n
16 + 2n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + 2n = 18 + 0
16 + 2n = 18

Add '-16' to each side of the equation.
16 + -16 + 2n = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 2n = 18 + -16
2n = 18 + -16

Combine like terms: 18 + -16 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1

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