2(n+8)=7(n-5)

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Solution for 2(n+8)=7(n-5) equation: 


Simplifying
2(n + 8) = 7(n + -5)

Reorder the terms:
2(8 + n) = 7(n + -5)
(8 * 2 + n * 2) = 7(n + -5)
(16 + 2n) = 7(n + -5)

Reorder the terms:
16 + 2n = 7(-5 + n)
16 + 2n = (-5 * 7 + n * 7)
16 + 2n = (-35 + 7n)

Solving
16 + 2n = -35 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
16 + 2n + -7n = -35 + 7n + -7n

Combine like terms: 2n + -7n = -5n
16 + -5n = -35 + 7n + -7n

Combine like terms: 7n + -7n = 0
16 + -5n = -35 + 0
16 + -5n = -35

Add '-16' to each side of the equation.
16 + -16 + -5n = -35 + -16

Combine like terms: 16 + -16 = 0
0 + -5n = -35 + -16
-5n = -35 + -16

Combine like terms: -35 + -16 = -51
-5n = -51

Divide each side by '-5'.
n = 10.2

Simplifying
n = 10.2

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