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Simplifying 3(3k + 4) + -16k + 5 + 3 = 0 Reorder the terms: 3(4 + 3k) + -16k + 5 + 3 = 0 (4 * 3 + 3k * 3) + -16k + 5 + 3 = 0 (12 + 9k) + -16k + 5 + 3 = 0 Reorder the terms: 12 + 5 + 3 + 9k + -16k = 0 Combine like terms: 12 + 5 = 17 17 + 3 + 9k + -16k = 0 Combine like terms: 17 + 3 = 20 20 + 9k + -16k = 0 Combine like terms: 9k + -16k = -7k 20 + -7k = 0 Solving 20 + -7k = 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 + -7k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7k = 0 + -20 -7k = 0 + -20 Combine like terms: 0 + -20 = -20 -7k = -20 Divide each side by '-7'. k = 2.857142857 Simplifying k = 2.857142857
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