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Simplifying 3(5k + 2) + -17k + 8 + 5 = 0 Reorder the terms: 3(2 + 5k) + -17k + 8 + 5 = 0 (2 * 3 + 5k * 3) + -17k + 8 + 5 = 0 (6 + 15k) + -17k + 8 + 5 = 0 Reorder the terms: 6 + 8 + 5 + 15k + -17k = 0 Combine like terms: 6 + 8 = 14 14 + 5 + 15k + -17k = 0 Combine like terms: 14 + 5 = 19 19 + 15k + -17k = 0 Combine like terms: 15k + -17k = -2k 19 + -2k = 0 Solving 19 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2k = 0 + -19 -2k = 0 + -19 Combine like terms: 0 + -19 = -19 -2k = -19 Divide each side by '-2'. k = 9.5 Simplifying k = 9.5
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