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Simplifying 2(k + 3) + -5k + 8 + 5 = 0 Reorder the terms: 2(3 + k) + -5k + 8 + 5 = 0 (3 * 2 + k * 2) + -5k + 8 + 5 = 0 (6 + 2k) + -5k + 8 + 5 = 0 Reorder the terms: 6 + 8 + 5 + 2k + -5k = 0 Combine like terms: 6 + 8 = 14 14 + 5 + 2k + -5k = 0 Combine like terms: 14 + 5 = 19 19 + 2k + -5k = 0 Combine like terms: 2k + -5k = -3k 19 + -3k = 0 Solving 19 + -3k = 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 + -3k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = 0 + -19 -3k = 0 + -19 Combine like terms: 0 + -19 = -19 -3k = -19 Divide each side by '-3'. k = 6.333333333 Simplifying k = 6.333333333
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