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

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


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

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

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

Reorder the terms:
8 + 1 + -2n + -3n = -2 + (2n + 1)

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

Combine like terms: -2n + -3n = -5n
9 + -5n = -2 + (2n + 1)

Reorder the terms:
9 + -5n = -2 + (1 + 2n)

Remove parenthesis around (1 + 2n)
9 + -5n = -2 + 1 + 2n

Combine like terms: -2 + 1 = -1
9 + -5n = -1 + 2n

Solving
9 + -5n = -1 + 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.
9 + -5n + -2n = -1 + 2n + -2n

Combine like terms: -5n + -2n = -7n
9 + -7n = -1 + 2n + -2n

Combine like terms: 2n + -2n = 0
9 + -7n = -1 + 0
9 + -7n = -1

Add '-9' to each side of the equation.
9 + -9 + -7n = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -7n = -1 + -9
-7n = -1 + -9

Combine like terms: -1 + -9 = -10
-7n = -10

Divide each side by '-7'.
n = 1.428571429

Simplifying
n = 1.428571429

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