2(n+8)=8+3n

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Solution for 2(n+8)=8+3n equation:


Simplifying
2(n + 8) = 8 + 3n

Reorder the terms:
2(8 + n) = 8 + 3n
(8 * 2 + n * 2) = 8 + 3n
(16 + 2n) = 8 + 3n

Solving
16 + 2n = 8 + 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 = 8 + 3n + -3n

Combine like terms: 2n + -3n = -1n
16 + -1n = 8 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -1n = 8 + 0
16 + -1n = 8

Add '-16' to each side of the equation.
16 + -16 + -1n = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 8 + -16
-1n = 8 + -16

Combine like terms: 8 + -16 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8

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