-2(n-6)=-8n-(7n+1)

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Solution for -2(n-6)=-8n-(7n+1) equation:


Simplifying
-2(n + -6) = -8n + -1(7n + 1)

Reorder the terms:
-2(-6 + n) = -8n + -1(7n + 1)
(-6 * -2 + n * -2) = -8n + -1(7n + 1)
(12 + -2n) = -8n + -1(7n + 1)

Reorder the terms:
12 + -2n = -8n + -1(1 + 7n)
12 + -2n = -8n + (1 * -1 + 7n * -1)
12 + -2n = -8n + (-1 + -7n)

Reorder the terms:
12 + -2n = -1 + -8n + -7n

Combine like terms: -8n + -7n = -15n
12 + -2n = -1 + -15n

Solving
12 + -2n = -1 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
12 + -2n + 15n = -1 + -15n + 15n

Combine like terms: -2n + 15n = 13n
12 + 13n = -1 + -15n + 15n

Combine like terms: -15n + 15n = 0
12 + 13n = -1 + 0
12 + 13n = -1

Add '-12' to each side of the equation.
12 + -12 + 13n = -1 + -12

Combine like terms: 12 + -12 = 0
0 + 13n = -1 + -12
13n = -1 + -12

Combine like terms: -1 + -12 = -13
13n = -13

Divide each side by '13'.
n = -1

Simplifying
n = -1

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