0-10n+3(8+8n)=-6(n-5)

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Solution for 0-10n+3(8+8n)=-6(n-5) equation:


Simplifying
0 + -10n + 3(8 + 8n) = -6(n + -5)
0 + -10n + (8 * 3 + 8n * 3) = -6(n + -5)
0 + -10n + (24 + 24n) = -6(n + -5)

Reorder the terms:
0 + 24 + -10n + 24n = -6(n + -5)

Combine like terms: 0 + 24 = 24
24 + -10n + 24n = -6(n + -5)

Combine like terms: -10n + 24n = 14n
24 + 14n = -6(n + -5)

Reorder the terms:
24 + 14n = -6(-5 + n)
24 + 14n = (-5 * -6 + n * -6)
24 + 14n = (30 + -6n)

Solving
24 + 14n = 30 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
24 + 14n + 6n = 30 + -6n + 6n

Combine like terms: 14n + 6n = 20n
24 + 20n = 30 + -6n + 6n

Combine like terms: -6n + 6n = 0
24 + 20n = 30 + 0
24 + 20n = 30

Add '-24' to each side of the equation.
24 + -24 + 20n = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 20n = 30 + -24
20n = 30 + -24

Combine like terms: 30 + -24 = 6
20n = 6

Divide each side by '20'.
n = 0.3

Simplifying
n = 0.3

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