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Simplifying -4(5 + -1k) = 2(4k + 6) + -4 (5 * -4 + -1k * -4) = 2(4k + 6) + -4 (-20 + 4k) = 2(4k + 6) + -4 Reorder the terms: -20 + 4k = 2(6 + 4k) + -4 -20 + 4k = (6 * 2 + 4k * 2) + -4 -20 + 4k = (12 + 8k) + -4 Reorder the terms: -20 + 4k = 12 + -4 + 8k Combine like terms: 12 + -4 = 8 -20 + 4k = 8 + 8k Solving -20 + 4k = 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. -20 + 4k + -8k = 8 + 8k + -8k Combine like terms: 4k + -8k = -4k -20 + -4k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -20 + -4k = 8 + 0 -20 + -4k = 8 Add '20' to each side of the equation. -20 + 20 + -4k = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -4k = 8 + 20 -4k = 8 + 20 Combine like terms: 8 + 20 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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