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Simplifying -2(6k + 2) = -8k + -8 Reorder the terms: -2(2 + 6k) = -8k + -8 (2 * -2 + 6k * -2) = -8k + -8 (-4 + -12k) = -8k + -8 Reorder the terms: -4 + -12k = -8 + -8k Solving -4 + -12k = -8 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -4 + -12k + 8k = -8 + -8k + 8k Combine like terms: -12k + 8k = -4k -4 + -4k = -8 + -8k + 8k Combine like terms: -8k + 8k = 0 -4 + -4k = -8 + 0 -4 + -4k = -8 Add '4' to each side of the equation. -4 + 4 + -4k = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -4k = -8 + 4 -4k = -8 + 4 Combine like terms: -8 + 4 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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