-8(n-2)=2(4n-5)+6

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Solution for -8(n-2)=2(4n-5)+6 equation: 


Simplifying
-8(n + -2) = 2(4n + -5) + 6

Reorder the terms:
-8(-2 + n) = 2(4n + -5) + 6
(-2 * -8 + n * -8) = 2(4n + -5) + 6
(16 + -8n) = 2(4n + -5) + 6

Reorder the terms:
16 + -8n = 2(-5 + 4n) + 6
16 + -8n = (-5 * 2 + 4n * 2) + 6
16 + -8n = (-10 + 8n) + 6

Reorder the terms:
16 + -8n = -10 + 6 + 8n

Combine like terms: -10 + 6 = -4
16 + -8n = -4 + 8n

Solving
16 + -8n = -4 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
16 + -8n + -8n = -4 + 8n + -8n

Combine like terms: -8n + -8n = -16n
16 + -16n = -4 + 8n + -8n

Combine like terms: 8n + -8n = 0
16 + -16n = -4 + 0
16 + -16n = -4

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

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

Combine like terms: -4 + -16 = -20
-16n = -20

Divide each side by '-16'.
n = 1.25

Simplifying
n = 1.25

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