(2n+16)=(4n+38)

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Solution for (2n+16)=(4n+38) equation: 


Simplifying
(2n + 16) = (4n + 38)

Reorder the terms:
(16 + 2n) = (4n + 38)

Remove parenthesis around (16 + 2n)
16 + 2n = (4n + 38)

Reorder the terms:
16 + 2n = (38 + 4n)

Remove parenthesis around (38 + 4n)
16 + 2n = 38 + 4n

Solving
16 + 2n = 38 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
16 + 2n + -4n = 38 + 4n + -4n

Combine like terms: 2n + -4n = -2n
16 + -2n = 38 + 4n + -4n

Combine like terms: 4n + -4n = 0
16 + -2n = 38 + 0
16 + -2n = 38

Add '-16' to each side of the equation.
16 + -16 + -2n = 38 + -16

Combine like terms: 16 + -16 = 0
0 + -2n = 38 + -16
-2n = 38 + -16

Combine like terms: 38 + -16 = 22
-2n = 22

Divide each side by '-2'.
n = -11

Simplifying
n = -11

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