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Simplifying 3(2k + 5) = 4k Reorder the terms: 3(5 + 2k) = 4k (5 * 3 + 2k * 3) = 4k (15 + 6k) = 4k Solving 15 + 6k = 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. 15 + 6k + -4k = 4k + -4k Combine like terms: 6k + -4k = 2k 15 + 2k = 4k + -4k Combine like terms: 4k + -4k = 0 15 + 2k = 0 Add '-15' to each side of the equation. 15 + -15 + 2k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2k = 0 + -15 2k = 0 + -15 Combine like terms: 0 + -15 = -15 2k = -15 Divide each side by '2'. k = -7.5 Simplifying k = -7.5
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