2(1+7n)+6=-(11n-8)

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Solution for 2(1+7n)+6=-(11n-8) equation:


Simplifying
2(1 + 7n) + 6 = -1(11n + -8)
(1 * 2 + 7n * 2) + 6 = -1(11n + -8)
(2 + 14n) + 6 = -1(11n + -8)

Reorder the terms:
2 + 6 + 14n = -1(11n + -8)

Combine like terms: 2 + 6 = 8
8 + 14n = -1(11n + -8)

Reorder the terms:
8 + 14n = -1(-8 + 11n)
8 + 14n = (-8 * -1 + 11n * -1)
8 + 14n = (8 + -11n)

Add '-8' to each side of the equation.
8 + -8 + 14n = 8 + -8 + -11n

Combine like terms: 8 + -8 = 0
0 + 14n = 8 + -8 + -11n
14n = 8 + -8 + -11n

Combine like terms: 8 + -8 = 0
14n = 0 + -11n
14n = -11n

Solving
14n = -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
14n + 11n = -11n + 11n

Combine like terms: 14n + 11n = 25n
25n = -11n + 11n

Combine like terms: -11n + 11n = 0
25n = 0

Divide each side by '25'.
n = 0

Simplifying
n = 0

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