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Simplifying 2(k + 5) + 9 = 5k + -3 Reorder the terms: 2(5 + k) + 9 = 5k + -3 (5 * 2 + k * 2) + 9 = 5k + -3 (10 + 2k) + 9 = 5k + -3 Reorder the terms: 10 + 9 + 2k = 5k + -3 Combine like terms: 10 + 9 = 19 19 + 2k = 5k + -3 Reorder the terms: 19 + 2k = -3 + 5k Solving 19 + 2k = -3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 19 + 2k + -5k = -3 + 5k + -5k Combine like terms: 2k + -5k = -3k 19 + -3k = -3 + 5k + -5k Combine like terms: 5k + -5k = 0 19 + -3k = -3 + 0 19 + -3k = -3 Add '-19' to each side of the equation. 19 + -19 + -3k = -3 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = -3 + -19 -3k = -3 + -19 Combine like terms: -3 + -19 = -22 -3k = -22 Divide each side by '-3'. k = 7.333333333 Simplifying k = 7.333333333
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