-2(n-8)=-(2n-1)+5n

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Solution for -2(n-8)=-(2n-1)+5n equation: 


Simplifying
-2(n + -8) = -1(2n + -1) + 5n

Reorder the terms:
-2(-8 + n) = -1(2n + -1) + 5n
(-8 * -2 + n * -2) = -1(2n + -1) + 5n
(16 + -2n) = -1(2n + -1) + 5n

Reorder the terms:
16 + -2n = -1(-1 + 2n) + 5n
16 + -2n = (-1 * -1 + 2n * -1) + 5n
16 + -2n = (1 + -2n) + 5n

Combine like terms: -2n + 5n = 3n
16 + -2n = 1 + 3n

Solving
16 + -2n = 1 + 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 = 1 + 3n + -3n

Combine like terms: -2n + -3n = -5n
16 + -5n = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -5n = 1 + 0
16 + -5n = 1

Add '-16' to each side of the equation.
16 + -16 + -5n = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -5n = 1 + -16
-5n = 1 + -16

Combine like terms: 1 + -16 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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