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

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


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

Combine like terms: 6 + 2 = 8
7n + -3(8) = 3(n + -8)

Multiply -3 * 8
7n + -24 = 3(n + -8)

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

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

Add '24' to each side of the equation.
-24 + 24 + 7n = -24 + 24 + 3n

Combine like terms: -24 + 24 = 0
0 + 7n = -24 + 24 + 3n
7n = -24 + 24 + 3n

Combine like terms: -24 + 24 = 0
7n = 0 + 3n
7n = 3n

Solving
7n = 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.
7n + -3n = 3n + -3n

Combine like terms: 7n + -3n = 4n
4n = 3n + -3n

Combine like terms: 3n + -3n = 0
4n = 0

Divide each side by '4'.
n = 0

Simplifying
n = 0

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