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Simplifying 3(4k + 5) = 4(7 + 2k) Reorder the terms: 3(5 + 4k) = 4(7 + 2k) (5 * 3 + 4k * 3) = 4(7 + 2k) (15 + 12k) = 4(7 + 2k) 15 + 12k = (7 * 4 + 2k * 4) 15 + 12k = (28 + 8k) Solving 15 + 12k = 28 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 15 + 12k + -8k = 28 + 8k + -8k Combine like terms: 12k + -8k = 4k 15 + 4k = 28 + 8k + -8k Combine like terms: 8k + -8k = 0 15 + 4k = 28 + 0 15 + 4k = 28 Add '-15' to each side of the equation. 15 + -15 + 4k = 28 + -15 Combine like terms: 15 + -15 = 0 0 + 4k = 28 + -15 4k = 28 + -15 Combine like terms: 28 + -15 = 13 4k = 13 Divide each side by '4'. k = 3.25 Simplifying k = 3.25
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