386=2-8(7n-6)

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Solution for 386=2-8(7n-6) equation:


Simplifying
386 = 2 + -8(7n + -6)

Reorder the terms:
386 = 2 + -8(-6 + 7n)
386 = 2 + (-6 * -8 + 7n * -8)
386 = 2 + (48 + -56n)

Combine like terms: 2 + 48 = 50
386 = 50 + -56n

Solving
386 = 50 + -56n

Solving for variable 'n'.

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

Add '56n' to each side of the equation.
386 + 56n = 50 + -56n + 56n

Combine like terms: -56n + 56n = 0
386 + 56n = 50 + 0
386 + 56n = 50

Add '-386' to each side of the equation.
386 + -386 + 56n = 50 + -386

Combine like terms: 386 + -386 = 0
0 + 56n = 50 + -386
56n = 50 + -386

Combine like terms: 50 + -386 = -336
56n = -336

Divide each side by '56'.
n = -6

Simplifying
n = -6

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