12(8n+4)=-6(6n+78)

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Solution for 12(8n+4)=-6(6n+78) equation:


Simplifying
12(8n + 4) = -6(6n + 78)

Reorder the terms:
12(4 + 8n) = -6(6n + 78)
(4 * 12 + 8n * 12) = -6(6n + 78)
(48 + 96n) = -6(6n + 78)

Reorder the terms:
48 + 96n = -6(78 + 6n)
48 + 96n = (78 * -6 + 6n * -6)
48 + 96n = (-468 + -36n)

Solving
48 + 96n = -468 + -36n

Solving for variable 'n'.

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

Add '36n' to each side of the equation.
48 + 96n + 36n = -468 + -36n + 36n

Combine like terms: 96n + 36n = 132n
48 + 132n = -468 + -36n + 36n

Combine like terms: -36n + 36n = 0
48 + 132n = -468 + 0
48 + 132n = -468

Add '-48' to each side of the equation.
48 + -48 + 132n = -468 + -48

Combine like terms: 48 + -48 = 0
0 + 132n = -468 + -48
132n = -468 + -48

Combine like terms: -468 + -48 = -516
132n = -516

Divide each side by '132'.
n = -3.909090909

Simplifying
n = -3.909090909

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