-2+3(n-6)=4-3(1-8n)

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Solution for -2+3(n-6)=4-3(1-8n) equation: 


Simplifying
-2 + 3(n + -6) = 4 + -3(1 + -8n)

Reorder the terms:
-2 + 3(-6 + n) = 4 + -3(1 + -8n)
-2 + (-6 * 3 + n * 3) = 4 + -3(1 + -8n)
-2 + (-18 + 3n) = 4 + -3(1 + -8n)

Combine like terms: -2 + -18 = -20
-20 + 3n = 4 + -3(1 + -8n)
-20 + 3n = 4 + (1 * -3 + -8n * -3)
-20 + 3n = 4 + (-3 + 24n)

Combine like terms: 4 + -3 = 1
-20 + 3n = 1 + 24n

Solving
-20 + 3n = 1 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
-20 + 3n + -24n = 1 + 24n + -24n

Combine like terms: 3n + -24n = -21n
-20 + -21n = 1 + 24n + -24n

Combine like terms: 24n + -24n = 0
-20 + -21n = 1 + 0
-20 + -21n = 1

Add '20' to each side of the equation.
-20 + 20 + -21n = 1 + 20

Combine like terms: -20 + 20 = 0
0 + -21n = 1 + 20
-21n = 1 + 20

Combine like terms: 1 + 20 = 21
-21n = 21

Divide each side by '-21'.
n = -1

Simplifying
n = -1

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