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Simplifying 3(4k + 7) + -1 = 0 Reorder the terms: 3(7 + 4k) + -1 = 0 (7 * 3 + 4k * 3) + -1 = 0 (21 + 12k) + -1 = 0 Reorder the terms: 21 + -1 + 12k = 0 Combine like terms: 21 + -1 = 20 20 + 12k = 0 Solving 20 + 12k = 0 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 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12k = 0 + -20 12k = 0 + -20 Combine like terms: 0 + -20 = -20 12k = -20 Divide each side by '12'. k = -1.666666667 Simplifying k = -1.666666667
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