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Simplifying 4(5 + 2k) = -4(-1k + 7) (5 * 4 + 2k * 4) = -4(-1k + 7) (20 + 8k) = -4(-1k + 7) Reorder the terms: 20 + 8k = -4(7 + -1k) 20 + 8k = (7 * -4 + -1k * -4) 20 + 8k = (-28 + 4k) Solving 20 + 8k = -28 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 20 + 8k + -4k = -28 + 4k + -4k Combine like terms: 8k + -4k = 4k 20 + 4k = -28 + 4k + -4k Combine like terms: 4k + -4k = 0 20 + 4k = -28 + 0 20 + 4k = -28 Add '-20' to each side of the equation. 20 + -20 + 4k = -28 + -20 Combine like terms: 20 + -20 = 0 0 + 4k = -28 + -20 4k = -28 + -20 Combine like terms: -28 + -20 = -48 4k = -48 Divide each side by '4'. k = -12 Simplifying k = -12
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