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

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


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

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

Reorder the terms:
1 + -4n + 3(-3 + n) = -2
1 + -4n + (-3 * 3 + n * 3) = -2
1 + -4n + (-9 + 3n) = -2

Reorder the terms:
1 + -9 + -4n + 3n = -2

Combine like terms: 1 + -9 = -8
-8 + -4n + 3n = -2

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

Solving
-8 + -1n = -2

Solving for variable 'n'.

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

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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