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Simplifying 2(5k + 3) + -15k + 8 + 3 = 0 Reorder the terms: 2(3 + 5k) + -15k + 8 + 3 = 0 (3 * 2 + 5k * 2) + -15k + 8 + 3 = 0 (6 + 10k) + -15k + 8 + 3 = 0 Reorder the terms: 6 + 8 + 3 + 10k + -15k = 0 Combine like terms: 6 + 8 = 14 14 + 3 + 10k + -15k = 0 Combine like terms: 14 + 3 = 17 17 + 10k + -15k = 0 Combine like terms: 10k + -15k = -5k 17 + -5k = 0 Solving 17 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5k = 0 + -17 -5k = 0 + -17 Combine like terms: 0 + -17 = -17 -5k = -17 Divide each side by '-5'. k = 3.4 Simplifying k = 3.4
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