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

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


Simplifying
7n + -3(6 + 2n) = 3(n + -8)
7n + (6 * -3 + 2n * -3) = 3(n + -8)
7n + (-18 + -6n) = 3(n + -8)

Reorder the terms:
-18 + 7n + -6n = 3(n + -8)

Combine like terms: 7n + -6n = 1n
-18 + 1n = 3(n + -8)

Reorder the terms:
-18 + 1n = 3(-8 + n)
-18 + 1n = (-8 * 3 + n * 3)
-18 + 1n = (-24 + 3n)

Solving
-18 + 1n = -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.
-18 + 1n + -3n = -24 + 3n + -3n

Combine like terms: 1n + -3n = -2n
-18 + -2n = -24 + 3n + -3n

Combine like terms: 3n + -3n = 0
-18 + -2n = -24 + 0
-18 + -2n = -24

Add '18' to each side of the equation.
-18 + 18 + -2n = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -2n = -24 + 18
-2n = -24 + 18

Combine like terms: -24 + 18 = -6
-2n = -6

Divide each side by '-2'.
n = 3

Simplifying
n = 3

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