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

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


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

Reorder the terms:
24 + -10n + 3n = -6(n + -4)

Combine like terms: -10n + 3n = -7n
24 + -7n = -6(n + -4)

Reorder the terms:
24 + -7n = -6(-4 + n)
24 + -7n = (-4 * -6 + n * -6)
24 + -7n = (24 + -6n)

Add '-24' to each side of the equation.
24 + -24 + -7n = 24 + -24 + -6n

Combine like terms: 24 + -24 = 0
0 + -7n = 24 + -24 + -6n
-7n = 24 + -24 + -6n

Combine like terms: 24 + -24 = 0
-7n = 0 + -6n
-7n = -6n

Solving
-7n = -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.
-7n + 6n = -6n + 6n

Combine like terms: -7n + 6n = -1n
-1n = -6n + 6n

Combine like terms: -6n + 6n = 0
-1n = 0

Divide each side by '-1'.
n = 0

Simplifying
n = 0

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