-n-16=7n+2(8-6n)

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Solution for -n-16=7n+2(8-6n) equation:


Simplifying
-1n + -16 = 7n + 2(8 + -6n)

Reorder the terms:
-16 + -1n = 7n + 2(8 + -6n)
-16 + -1n = 7n + (8 * 2 + -6n * 2)
-16 + -1n = 7n + (16 + -12n)

Reorder the terms:
-16 + -1n = 16 + 7n + -12n

Combine like terms: 7n + -12n = -5n
-16 + -1n = 16 + -5n

Solving
-16 + -1n = 16 + -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 + -1n + 5n = 16 + -5n + 5n

Combine like terms: -1n + 5n = 4n
-16 + 4n = 16 + -5n + 5n

Combine like terms: -5n + 5n = 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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