4(6n+2)-7n=3(n-8)

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Solution for 4(6n+2)-7n=3(n-8) equation: 


Simplifying
4(6n + 2) + -7n = 3(n + -8)

Reorder the terms:
4(2 + 6n) + -7n = 3(n + -8)
(2 * 4 + 6n * 4) + -7n = 3(n + -8)
(8 + 24n) + -7n = 3(n + -8)

Combine like terms: 24n + -7n = 17n
8 + 17n = 3(n + -8)

Reorder the terms:
8 + 17n = 3(-8 + n)
8 + 17n = (-8 * 3 + n * 3)
8 + 17n = (-24 + 3n)

Solving
8 + 17n = -24 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
8 + 17n + -3n = -24 + 3n + -3n

Combine like terms: 17n + -3n = 14n
8 + 14n = -24 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + 14n = -24 + 0
8 + 14n = -24

Add '-8' to each side of the equation.
8 + -8 + 14n = -24 + -8

Combine like terms: 8 + -8 = 0
0 + 14n = -24 + -8
14n = -24 + -8

Combine like terms: -24 + -8 = -32
14n = -32

Divide each side by '14'.
n = -2.285714286

Simplifying
n = -2.285714286

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