-10n+3(3+8n)=-6(n-4)

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Solution for -10n+3(3+8n)=-6(n-4) equation:


Simplifying
-10n + 3(3 + 8n) = -6(n + -4)
-10n + (3 * 3 + 8n * 3) = -6(n + -4)
-10n + (9 + 24n) = -6(n + -4)

Reorder the terms:
9 + -10n + 24n = -6(n + -4)

Combine like terms: -10n + 24n = 14n
9 + 14n = -6(n + -4)

Reorder the terms:
9 + 14n = -6(-4 + n)
9 + 14n = (-4 * -6 + n * -6)
9 + 14n = (24 + -6n)

Solving
9 + 14n = 24 + -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.
9 + 14n + 6n = 24 + -6n + 6n

Combine like terms: 14n + 6n = 20n
9 + 20n = 24 + -6n + 6n

Combine like terms: -6n + 6n = 0
9 + 20n = 24 + 0
9 + 20n = 24

Add '-9' to each side of the equation.
9 + -9 + 20n = 24 + -9

Combine like terms: 9 + -9 = 0
0 + 20n = 24 + -9
20n = 24 + -9

Combine like terms: 24 + -9 = 15
20n = 15

Divide each side by '20'.
n = 0.75

Simplifying
n = 0.75

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