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Simplifying 3(4k + 2) + -17k + 8 + 2 = 0 Reorder the terms: 3(2 + 4k) + -17k + 8 + 2 = 0 (2 * 3 + 4k * 3) + -17k + 8 + 2 = 0 (6 + 12k) + -17k + 8 + 2 = 0 Reorder the terms: 6 + 8 + 2 + 12k + -17k = 0 Combine like terms: 6 + 8 = 14 14 + 2 + 12k + -17k = 0 Combine like terms: 14 + 2 = 16 16 + 12k + -17k = 0 Combine like terms: 12k + -17k = -5k 16 + -5k = 0 Solving 16 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5k = 0 + -16 -5k = 0 + -16 Combine like terms: 0 + -16 = -16 -5k = -16 Divide each side by '-5'. k = 3.2 Simplifying k = 3.2
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