2(n-8)=-4(2n-1)

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Solution for 2(n-8)=-4(2n-1) equation:


Simplifying
2(n + -8) = -4(2n + -1)

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

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

Solving
-16 + 2n = 4 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
-16 + 2n + 8n = 4 + -8n + 8n

Combine like terms: 2n + 8n = 10n
-16 + 10n = 4 + -8n + 8n

Combine like terms: -8n + 8n = 0
-16 + 10n = 4 + 0
-16 + 10n = 4

Add '16' to each side of the equation.
-16 + 16 + 10n = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 10n = 4 + 16
10n = 4 + 16

Combine like terms: 4 + 16 = 20
10n = 20

Divide each side by '10'.
n = 2

Simplifying
n = 2

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