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

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


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

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

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

Combine like terms: 10 + 6 = 16
16 + -2n = -5(2n + -8) + -6

Reorder the terms:
16 + -2n = -5(-8 + 2n) + -6
16 + -2n = (-8 * -5 + 2n * -5) + -6
16 + -2n = (40 + -10n) + -6

Reorder the terms:
16 + -2n = 40 + -6 + -10n

Combine like terms: 40 + -6 = 34
16 + -2n = 34 + -10n

Solving
16 + -2n = 34 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
16 + -2n + 10n = 34 + -10n + 10n

Combine like terms: -2n + 10n = 8n
16 + 8n = 34 + -10n + 10n

Combine like terms: -10n + 10n = 0
16 + 8n = 34 + 0
16 + 8n = 34

Add '-16' to each side of the equation.
16 + -16 + 8n = 34 + -16

Combine like terms: 16 + -16 = 0
0 + 8n = 34 + -16
8n = 34 + -16

Combine like terms: 34 + -16 = 18
8n = 18

Divide each side by '8'.
n = 2.25

Simplifying
n = 2.25

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