82=-2(6k-8)-6

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Solution for 82=-2(6k-8)-6 equation:


Simplifying
82 = -2(6k + -8) + -6

Reorder the terms:
82 = -2(-8 + 6k) + -6
82 = (-8 * -2 + 6k * -2) + -6
82 = (16 + -12k) + -6

Reorder the terms:
82 = 16 + -6 + -12k

Combine like terms: 16 + -6 = 10
82 = 10 + -12k

Solving
82 = 10 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
82 + 12k = 10 + -12k + 12k

Combine like terms: -12k + 12k = 0
82 + 12k = 10 + 0
82 + 12k = 10

Add '-82' to each side of the equation.
82 + -82 + 12k = 10 + -82

Combine like terms: 82 + -82 = 0
0 + 12k = 10 + -82
12k = 10 + -82

Combine like terms: 10 + -82 = -72
12k = -72

Divide each side by '12'.
k = -6

Simplifying
k = -6

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