-82=-2(1+6n)+2n

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Solution for -82=-2(1+6n)+2n equation:


Simplifying
-82 = -2(1 + 6n) + 2n
-82 = (1 * -2 + 6n * -2) + 2n
-82 = (-2 + -12n) + 2n

Combine like terms: -12n + 2n = -10n
-82 = -2 + -10n

Solving
-82 = -2 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
-82 + 10n = -2 + -10n + 10n

Combine like terms: -10n + 10n = 0
-82 + 10n = -2 + 0
-82 + 10n = -2

Add '82' to each side of the equation.
-82 + 82 + 10n = -2 + 82

Combine like terms: -82 + 82 = 0
0 + 10n = -2 + 82
10n = -2 + 82

Combine like terms: -2 + 82 = 80
10n = 80

Divide each side by '10'.
n = 8

Simplifying
n = 8

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