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Simplifying 5k(2 + 7) = 3k + 24 Combine like terms: 2 + 7 = 9 5k(9) = 3k + 24 Reorder the terms for easier multiplication: 5 * 9k = 3k + 24 Multiply 5 * 9 45k = 3k + 24 Reorder the terms: 45k = 24 + 3k Solving 45k = 24 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 45k + -3k = 24 + 3k + -3k Combine like terms: 45k + -3k = 42k 42k = 24 + 3k + -3k Combine like terms: 3k + -3k = 0 42k = 24 + 0 42k = 24 Divide each side by '42'. k = 0.5714285714 Simplifying k = 0.5714285714
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