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Simplifying 3(4k + 2) + -17k + 9 + 3 = 0 Reorder the terms: 3(2 + 4k) + -17k + 9 + 3 = 0 (2 * 3 + 4k * 3) + -17k + 9 + 3 = 0 (6 + 12k) + -17k + 9 + 3 = 0 Reorder the terms: 6 + 9 + 3 + 12k + -17k = 0 Combine like terms: 6 + 9 = 15 15 + 3 + 12k + -17k = 0 Combine like terms: 15 + 3 = 18 18 + 12k + -17k = 0 Combine like terms: 12k + -17k = -5k 18 + -5k = 0 Solving 18 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 0 + -18 -5k = 0 + -18 Combine like terms: 0 + -18 = -18 -5k = -18 Divide each side by '-5'. k = 3.6 Simplifying k = 3.6
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