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Simplifying -6k + -4(8 + -4k) = -82 -6k + (8 * -4 + -4k * -4) = -82 -6k + (-32 + 16k) = -82 Reorder the terms: -32 + -6k + 16k = -82 Combine like terms: -6k + 16k = 10k -32 + 10k = -82 Solving -32 + 10k = -82 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 10k = -82 + 32 Combine like terms: -32 + 32 = 0 0 + 10k = -82 + 32 10k = -82 + 32 Combine like terms: -82 + 32 = -50 10k = -50 Divide each side by '10'. k = -5 Simplifying k = -5
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