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Simplifying 4(5 + 3k) = -20 (5 * 4 + 3k * 4) = -20 (20 + 12k) = -20 Solving 20 + 12k = -20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12k = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 12k = -20 + -20 12k = -20 + -20 Combine like terms: -20 + -20 = -40 12k = -40 Divide each side by '12'. k = -3.333333333 Simplifying k = -3.333333333
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