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Simplifying 3(3k + 4) + -13k + 6 + 3 = 0 Reorder the terms: 3(4 + 3k) + -13k + 6 + 3 = 0 (4 * 3 + 3k * 3) + -13k + 6 + 3 = 0 (12 + 9k) + -13k + 6 + 3 = 0 Reorder the terms: 12 + 6 + 3 + 9k + -13k = 0 Combine like terms: 12 + 6 = 18 18 + 3 + 9k + -13k = 0 Combine like terms: 18 + 3 = 21 21 + 9k + -13k = 0 Combine like terms: 9k + -13k = -4k 21 + -4k = 0 Solving 21 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4k = 0 + -21 -4k = 0 + -21 Combine like terms: 0 + -21 = -21 -4k = -21 Divide each side by '-4'. k = 5.25 Simplifying k = 5.25
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