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Simplifying 3(2k + 4) + -12k + 9 + 4 = 0 Reorder the terms: 3(4 + 2k) + -12k + 9 + 4 = 0 (4 * 3 + 2k * 3) + -12k + 9 + 4 = 0 (12 + 6k) + -12k + 9 + 4 = 0 Reorder the terms: 12 + 9 + 4 + 6k + -12k = 0 Combine like terms: 12 + 9 = 21 21 + 4 + 6k + -12k = 0 Combine like terms: 21 + 4 = 25 25 + 6k + -12k = 0 Combine like terms: 6k + -12k = -6k 25 + -6k = 0 Solving 25 + -6k = 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 + -6k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6k = 0 + -25 -6k = 0 + -25 Combine like terms: 0 + -25 = -25 -6k = -25 Divide each side by '-6'. k = 4.166666667 Simplifying k = 4.166666667
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