2(5n+8)=-16+6n

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Solution for 2(5n+8)=-16+6n equation: 


Simplifying
2(5n + 8) = -16 + 6n

Reorder the terms:
2(8 + 5n) = -16 + 6n
(8 * 2 + 5n * 2) = -16 + 6n
(16 + 10n) = -16 + 6n

Solving
16 + 10n = -16 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
16 + 10n + -6n = -16 + 6n + -6n

Combine like terms: 10n + -6n = 4n
16 + 4n = -16 + 6n + -6n

Combine like terms: 6n + -6n = 0
16 + 4n = -16 + 0
16 + 4n = -16

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

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

Combine like terms: -16 + -16 = -32
4n = -32

Divide each side by '4'.
n = -8

Simplifying
n = -8

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