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Simplifying 2(2k + 5) + -10k + 5 + 2 = 0 Reorder the terms: 2(5 + 2k) + -10k + 5 + 2 = 0 (5 * 2 + 2k * 2) + -10k + 5 + 2 = 0 (10 + 4k) + -10k + 5 + 2 = 0 Reorder the terms: 10 + 5 + 2 + 4k + -10k = 0 Combine like terms: 10 + 5 = 15 15 + 2 + 4k + -10k = 0 Combine like terms: 15 + 2 = 17 17 + 4k + -10k = 0 Combine like terms: 4k + -10k = -6k 17 + -6k = 0 Solving 17 + -6k = 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 + -6k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6k = 0 + -17 -6k = 0 + -17 Combine like terms: 0 + -17 = -17 -6k = -17 Divide each side by '-6'. k = 2.833333333 Simplifying k = 2.833333333
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