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Simplifying 2(2k + 5) + 5k = 2(3k + 4) Reorder the terms: 2(5 + 2k) + 5k = 2(3k + 4) (5 * 2 + 2k * 2) + 5k = 2(3k + 4) (10 + 4k) + 5k = 2(3k + 4) Combine like terms: 4k + 5k = 9k 10 + 9k = 2(3k + 4) Reorder the terms: 10 + 9k = 2(4 + 3k) 10 + 9k = (4 * 2 + 3k * 2) 10 + 9k = (8 + 6k) Solving 10 + 9k = 8 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 10 + 9k + -6k = 8 + 6k + -6k Combine like terms: 9k + -6k = 3k 10 + 3k = 8 + 6k + -6k Combine like terms: 6k + -6k = 0 10 + 3k = 8 + 0 10 + 3k = 8 Add '-10' to each side of the equation. 10 + -10 + 3k = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 8 + -10 3k = 8 + -10 Combine like terms: 8 + -10 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667
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