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Simplifying 3(3k + 4) + -12k + 8 + 5 = 0 Reorder the terms: 3(4 + 3k) + -12k + 8 + 5 = 0 (4 * 3 + 3k * 3) + -12k + 8 + 5 = 0 (12 + 9k) + -12k + 8 + 5 = 0 Reorder the terms: 12 + 8 + 5 + 9k + -12k = 0 Combine like terms: 12 + 8 = 20 20 + 5 + 9k + -12k = 0 Combine like terms: 20 + 5 = 25 25 + 9k + -12k = 0 Combine like terms: 9k + -12k = -3k 25 + -3k = 0 Solving 25 + -3k = 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 + -3k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3k = 0 + -25 -3k = 0 + -25 Combine like terms: 0 + -25 = -25 -3k = -25 Divide each side by '-3'. k = 8.333333333 Simplifying k = 8.333333333
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