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Simplifying 5(3k + -1) + 3(3k + 8) = 43 Reorder the terms: 5(-1 + 3k) + 3(3k + 8) = 43 (-1 * 5 + 3k * 5) + 3(3k + 8) = 43 (-5 + 15k) + 3(3k + 8) = 43 Reorder the terms: -5 + 15k + 3(8 + 3k) = 43 -5 + 15k + (8 * 3 + 3k * 3) = 43 -5 + 15k + (24 + 9k) = 43 Reorder the terms: -5 + 24 + 15k + 9k = 43 Combine like terms: -5 + 24 = 19 19 + 15k + 9k = 43 Combine like terms: 15k + 9k = 24k 19 + 24k = 43 Solving 19 + 24k = 43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 24k = 43 + -19 Combine like terms: 19 + -19 = 0 0 + 24k = 43 + -19 24k = 43 + -19 Combine like terms: 43 + -19 = 24 24k = 24 Divide each side by '24'. k = 1 Simplifying k = 1
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