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

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


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

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

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

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

Combine like terms: 3 + 1 = 4
4 + 4 + -1n + -2n = -3n + (n + -2) + 4

Combine like terms: 4 + 4 = 8
8 + -1n + -2n = -3n + (n + -2) + 4

Combine like terms: -1n + -2n = -3n
8 + -3n = -3n + (n + -2) + 4

Reorder the terms:
8 + -3n = -3n + (-2 + n) + 4

Remove parenthesis around (-2 + n)
8 + -3n = -3n + -2 + n + 4

Reorder the terms:
8 + -3n = -2 + 4 + -3n + n

Combine like terms: -2 + 4 = 2
8 + -3n = 2 + -3n + n

Combine like terms: -3n + n = -2n
8 + -3n = 2 + -2n

Solving
8 + -3n = 2 + -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 + -3n + 2n = 2 + -2n + 2n

Combine like terms: -3n + 2n = -1n
8 + -1n = 2 + -2n + 2n

Combine like terms: -2n + 2n = 0
8 + -1n = 2 + 0
8 + -1n = 2

Add '-8' to each side of the equation.
8 + -8 + -1n = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 2 + -8
-1n = 2 + -8

Combine like terms: 2 + -8 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6

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