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Simplifying 5(3k + 2) = 40 Reorder the terms: 5(2 + 3k) = 40 (2 * 5 + 3k * 5) = 40 (10 + 15k) = 40 Solving 10 + 15k = 40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 15k = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 15k = 40 + -10 15k = 40 + -10 Combine like terms: 40 + -10 = 30 15k = 30 Divide each side by '15'. k = 2 Simplifying k = 2
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