-8(n-1)-6=2n-(2+n)

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Solution for -8(n-1)-6=2n-(2+n) equation:


Simplifying
-8(n + -1) + -6 = 2n + -1(2 + n)

Reorder the terms:
-8(-1 + n) + -6 = 2n + -1(2 + n)
(-1 * -8 + n * -8) + -6 = 2n + -1(2 + n)
(8 + -8n) + -6 = 2n + -1(2 + n)

Reorder the terms:
8 + -6 + -8n = 2n + -1(2 + n)

Combine like terms: 8 + -6 = 2
2 + -8n = 2n + -1(2 + n)
2 + -8n = 2n + (2 * -1 + n * -1)
2 + -8n = 2n + (-2 + -1n)

Reorder the terms:
2 + -8n = -2 + 2n + -1n

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

Solving
2 + -8n = -2 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
2 + -8n + -1n = -2 + 1n + -1n

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

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

Add '-2' to each side of the equation.
2 + -2 + -9n = -2 + -2

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

Combine like terms: -2 + -2 = -4
-9n = -4

Divide each side by '-9'.
n = 0.4444444444

Simplifying
n = 0.4444444444

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