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Simplifying 3(5d + 10) = 45 Reorder the terms: 3(10 + 5d) = 45 (10 * 3 + 5d * 3) = 45 (30 + 15d) = 45 Solving 30 + 15d = 45 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15d = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 15d = 45 + -30 15d = 45 + -30 Combine like terms: 45 + -30 = 15 15d = 15 Divide each side by '15'. d = 1 Simplifying d = 1
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