5(1-12n)=10n-9(1+8n)

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Solution for 5(1-12n)=10n-9(1+8n) equation:


Simplifying
5(1 + -12n) = 10n + -9(1 + 8n)
(1 * 5 + -12n * 5) = 10n + -9(1 + 8n)
(5 + -60n) = 10n + -9(1 + 8n)
5 + -60n = 10n + (1 * -9 + 8n * -9)
5 + -60n = 10n + (-9 + -72n)

Reorder the terms:
5 + -60n = -9 + 10n + -72n

Combine like terms: 10n + -72n = -62n
5 + -60n = -9 + -62n

Solving
5 + -60n = -9 + -62n

Solving for variable 'n'.

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

Add '62n' to each side of the equation.
5 + -60n + 62n = -9 + -62n + 62n

Combine like terms: -60n + 62n = 2n
5 + 2n = -9 + -62n + 62n

Combine like terms: -62n + 62n = 0
5 + 2n = -9 + 0
5 + 2n = -9

Add '-5' to each side of the equation.
5 + -5 + 2n = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = -9 + -5
2n = -9 + -5

Combine like terms: -9 + -5 = -14
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7

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