8(9n+6)=-4(8n-68)

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Solution for 8(9n+6)=-4(8n-68) equation: 


Simplifying
8(9n + 6) = -4(8n + -68)

Reorder the terms:
8(6 + 9n) = -4(8n + -68)
(6 * 8 + 9n * 8) = -4(8n + -68)
(48 + 72n) = -4(8n + -68)

Reorder the terms:
48 + 72n = -4(-68 + 8n)
48 + 72n = (-68 * -4 + 8n * -4)
48 + 72n = (272 + -32n)

Solving
48 + 72n = 272 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
48 + 72n + 32n = 272 + -32n + 32n

Combine like terms: 72n + 32n = 104n
48 + 104n = 272 + -32n + 32n

Combine like terms: -32n + 32n = 0
48 + 104n = 272 + 0
48 + 104n = 272

Add '-48' to each side of the equation.
48 + -48 + 104n = 272 + -48

Combine like terms: 48 + -48 = 0
0 + 104n = 272 + -48
104n = 272 + -48

Combine like terms: 272 + -48 = 224
104n = 224

Divide each side by '104'.
n = 2.153846154

Simplifying
n = 2.153846154

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