-2(n-1)-(-6n-2)=3n

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


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

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

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

Reorder the terms:
2 + 2 + -2n + 6n = 3n

Combine like terms: 2 + 2 = 4
4 + -2n + 6n = 3n

Combine like terms: -2n + 6n = 4n
4 + 4n = 3n

Solving
4 + 4n = 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.
4 + 4n + -3n = 3n + -3n

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

Combine like terms: 3n + -3n = 0
4 + 1n = 0

Add '-4' to each side of the equation.
4 + -4 + 1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1n = 0 + -4
1n = 0 + -4

Combine like terms: 0 + -4 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4

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