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Simplifying 8 + 3(2k + 5) = 4k + 13 Reorder the terms: 8 + 3(5 + 2k) = 4k + 13 8 + (5 * 3 + 2k * 3) = 4k + 13 8 + (15 + 6k) = 4k + 13 Combine like terms: 8 + 15 = 23 23 + 6k = 4k + 13 Reorder the terms: 23 + 6k = 13 + 4k Solving 23 + 6k = 13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 23 + 6k + -4k = 13 + 4k + -4k Combine like terms: 6k + -4k = 2k 23 + 2k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 23 + 2k = 13 + 0 23 + 2k = 13 Add '-23' to each side of the equation. 23 + -23 + 2k = 13 + -23 Combine like terms: 23 + -23 = 0 0 + 2k = 13 + -23 2k = 13 + -23 Combine like terms: 13 + -23 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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