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Simplifying 3(3k + 5) + -13k + 6 + 4 = 0 Reorder the terms: 3(5 + 3k) + -13k + 6 + 4 = 0 (5 * 3 + 3k * 3) + -13k + 6 + 4 = 0 (15 + 9k) + -13k + 6 + 4 = 0 Reorder the terms: 15 + 6 + 4 + 9k + -13k = 0 Combine like terms: 15 + 6 = 21 21 + 4 + 9k + -13k = 0 Combine like terms: 21 + 4 = 25 25 + 9k + -13k = 0 Combine like terms: 9k + -13k = -4k 25 + -4k = 0 Solving 25 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4k = 0 + -25 -4k = 0 + -25 Combine like terms: 0 + -25 = -25 -4k = -25 Divide each side by '-4'. k = 6.25 Simplifying k = 6.25
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