2(n+8)=3n+7

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Solution for 2(n+8)=3n+7 equation: 


Simplifying
2(n + 8) = 3n + 7

Reorder the terms:
2(8 + n) = 3n + 7
(8 * 2 + n * 2) = 3n + 7
(16 + 2n) = 3n + 7

Reorder the terms:
16 + 2n = 7 + 3n

Solving
16 + 2n = 7 + 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 = 7 + 3n + -3n

Combine like terms: 2n + -3n = -1n
16 + -1n = 7 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -1n = 7 + 0
16 + -1n = 7

Add '-16' to each side of the equation.
16 + -16 + -1n = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 7 + -16
-1n = 7 + -16

Combine like terms: 7 + -16 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9

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