8n-8+5n=-2(1-4n)+2(4+n)

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Solution for 8n-8+5n=-2(1-4n)+2(4+n) equation:


Simplifying
8n + -8 + 5n = -2(1 + -4n) + 2(4 + n)

Reorder the terms:
-8 + 8n + 5n = -2(1 + -4n) + 2(4 + n)

Combine like terms: 8n + 5n = 13n
-8 + 13n = -2(1 + -4n) + 2(4 + n)
-8 + 13n = (1 * -2 + -4n * -2) + 2(4 + n)
-8 + 13n = (-2 + 8n) + 2(4 + n)
-8 + 13n = -2 + 8n + (4 * 2 + n * 2)
-8 + 13n = -2 + 8n + (8 + 2n)

Reorder the terms:
-8 + 13n = -2 + 8 + 8n + 2n

Combine like terms: -2 + 8 = 6
-8 + 13n = 6 + 8n + 2n

Combine like terms: 8n + 2n = 10n
-8 + 13n = 6 + 10n

Solving
-8 + 13n = 6 + 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.
-8 + 13n + -10n = 6 + 10n + -10n

Combine like terms: 13n + -10n = 3n
-8 + 3n = 6 + 10n + -10n

Combine like terms: 10n + -10n = 0
-8 + 3n = 6 + 0
-8 + 3n = 6

Add '8' to each side of the equation.
-8 + 8 + 3n = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 3n = 6 + 8
3n = 6 + 8

Combine like terms: 6 + 8 = 14
3n = 14

Divide each side by '3'.
n = 4.666666667

Simplifying
n = 4.666666667

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