-2(5n-8)=-20-n

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Solution for -2(5n-8)=-20-n equation:


Simplifying
-2(5n + -8) = -20 + -1n

Reorder the terms:
-2(-8 + 5n) = -20 + -1n
(-8 * -2 + 5n * -2) = -20 + -1n
(16 + -10n) = -20 + -1n

Solving
16 + -10n = -20 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
16 + -10n + n = -20 + -1n + n

Combine like terms: -10n + n = -9n
16 + -9n = -20 + -1n + n

Combine like terms: -1n + n = 0
16 + -9n = -20 + 0
16 + -9n = -20

Add '-16' to each side of the equation.
16 + -16 + -9n = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -9n = -20 + -16
-9n = -20 + -16

Combine like terms: -20 + -16 = -36
-9n = -36

Divide each side by '-9'.
n = 4

Simplifying
n = 4

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