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

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


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

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

Reorder the terms:
8 + 24n = 7n + -3(-8 + 3n)
8 + 24n = 7n + (-8 * -3 + 3n * -3)
8 + 24n = 7n + (24 + -9n)

Reorder the terms:
8 + 24n = 24 + 7n + -9n

Combine like terms: 7n + -9n = -2n
8 + 24n = 24 + -2n

Solving
8 + 24n = 24 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
8 + 24n + 2n = 24 + -2n + 2n

Combine like terms: 24n + 2n = 26n
8 + 26n = 24 + -2n + 2n

Combine like terms: -2n + 2n = 0
8 + 26n = 24 + 0
8 + 26n = 24

Add '-8' to each side of the equation.
8 + -8 + 26n = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 26n = 24 + -8
26n = 24 + -8

Combine like terms: 24 + -8 = 16
26n = 16

Divide each side by '26'.
n = 0.6153846154

Simplifying
n = 0.6153846154

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