2(4n-1)+n=16-2n-40

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Solution for 2(4n-1)+n=16-2n-40 equation:


Simplifying
2(4n + -1) + n = 16 + -2n + -40

Reorder the terms:
2(-1 + 4n) + n = 16 + -2n + -40
(-1 * 2 + 4n * 2) + n = 16 + -2n + -40
(-2 + 8n) + n = 16 + -2n + -40

Combine like terms: 8n + n = 9n
-2 + 9n = 16 + -2n + -40

Reorder the terms:
-2 + 9n = 16 + -40 + -2n

Combine like terms: 16 + -40 = -24
-2 + 9n = -24 + -2n

Solving
-2 + 9n = -24 + -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.
-2 + 9n + 2n = -24 + -2n + 2n

Combine like terms: 9n + 2n = 11n
-2 + 11n = -24 + -2n + 2n

Combine like terms: -2n + 2n = 0
-2 + 11n = -24 + 0
-2 + 11n = -24

Add '2' to each side of the equation.
-2 + 2 + 11n = -24 + 2

Combine like terms: -2 + 2 = 0
0 + 11n = -24 + 2
11n = -24 + 2

Combine like terms: -24 + 2 = -22
11n = -22

Divide each side by '11'.
n = -2

Simplifying
n = -2

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