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Simplifying -2(3k + -8) = 2(-1k + 2) Reorder the terms: -2(-8 + 3k) = 2(-1k + 2) (-8 * -2 + 3k * -2) = 2(-1k + 2) (16 + -6k) = 2(-1k + 2) Reorder the terms: 16 + -6k = 2(2 + -1k) 16 + -6k = (2 * 2 + -1k * 2) 16 + -6k = (4 + -2k) Solving 16 + -6k = 4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 16 + -6k + 2k = 4 + -2k + 2k Combine like terms: -6k + 2k = -4k 16 + -4k = 4 + -2k + 2k Combine like terms: -2k + 2k = 0 16 + -4k = 4 + 0 16 + -4k = 4 Add '-16' to each side of the equation. 16 + -16 + -4k = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -4k = 4 + -16 -4k = 4 + -16 Combine like terms: 4 + -16 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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