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Simplifying 6(4 + 4k) + -3(5 + 3k) = 39 (4 * 6 + 4k * 6) + -3(5 + 3k) = 39 (24 + 24k) + -3(5 + 3k) = 39 24 + 24k + (5 * -3 + 3k * -3) = 39 24 + 24k + (-15 + -9k) = 39 Reorder the terms: 24 + -15 + 24k + -9k = 39 Combine like terms: 24 + -15 = 9 9 + 24k + -9k = 39 Combine like terms: 24k + -9k = 15k 9 + 15k = 39 Solving 9 + 15k = 39 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 15k = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 15k = 39 + -9 15k = 39 + -9 Combine like terms: 39 + -9 = 30 15k = 30 Divide each side by '15'. k = 2 Simplifying k = 2
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