-10n+9(8+8n)=-6(n-4)

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Solution for -10n+9(8+8n)=-6(n-4) equation:


Simplifying
-10n + 9(8 + 8n) = -6(n + -4)
-10n + (8 * 9 + 8n * 9) = -6(n + -4)
-10n + (72 + 72n) = -6(n + -4)

Reorder the terms:
72 + -10n + 72n = -6(n + -4)

Combine like terms: -10n + 72n = 62n
72 + 62n = -6(n + -4)

Reorder the terms:
72 + 62n = -6(-4 + n)
72 + 62n = (-4 * -6 + n * -6)
72 + 62n = (24 + -6n)

Solving
72 + 62n = 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.
72 + 62n + 6n = 24 + -6n + 6n

Combine like terms: 62n + 6n = 68n
72 + 68n = 24 + -6n + 6n

Combine like terms: -6n + 6n = 0
72 + 68n = 24 + 0
72 + 68n = 24

Add '-72' to each side of the equation.
72 + -72 + 68n = 24 + -72

Combine like terms: 72 + -72 = 0
0 + 68n = 24 + -72
68n = 24 + -72

Combine like terms: 24 + -72 = -48
68n = -48

Divide each side by '68'.
n = -0.7058823529

Simplifying
n = -0.7058823529

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