-3(n-4)-3=3-(n+2)

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


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

Reorder the terms:
-3(-4 + n) + -3 = 3 + -1(n + 2)
(-4 * -3 + n * -3) + -3 = 3 + -1(n + 2)
(12 + -3n) + -3 = 3 + -1(n + 2)

Reorder the terms:
12 + -3 + -3n = 3 + -1(n + 2)

Combine like terms: 12 + -3 = 9
9 + -3n = 3 + -1(n + 2)

Reorder the terms:
9 + -3n = 3 + -1(2 + n)
9 + -3n = 3 + (2 * -1 + n * -1)
9 + -3n = 3 + (-2 + -1n)

Combine like terms: 3 + -2 = 1
9 + -3n = 1 + -1n

Solving
9 + -3n = 1 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
9 + -3n + n = 1 + -1n + n

Combine like terms: -3n + n = -2n
9 + -2n = 1 + -1n + n

Combine like terms: -1n + n = 0
9 + -2n = 1 + 0
9 + -2n = 1

Add '-9' to each side of the equation.
9 + -9 + -2n = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -2n = 1 + -9
-2n = 1 + -9

Combine like terms: 1 + -9 = -8
-2n = -8

Divide each side by '-2'.
n = 4

Simplifying
n = 4

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