8(2+n)=5n-8

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


Simplifying
8(2 + n) = 5n + -8
(2 * 8 + n * 8) = 5n + -8
(16 + 8n) = 5n + -8

Reorder the terms:
16 + 8n = -8 + 5n

Solving
16 + 8n = -8 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
16 + 8n + -5n = -8 + 5n + -5n

Combine like terms: 8n + -5n = 3n
16 + 3n = -8 + 5n + -5n

Combine like terms: 5n + -5n = 0
16 + 3n = -8 + 0
16 + 3n = -8

Add '-16' to each side of the equation.
16 + -16 + 3n = -8 + -16

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

Combine like terms: -8 + -16 = -24
3n = -24

Divide each side by '3'.
n = -8

Simplifying
n = -8

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