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Simplifying 5(2d + 3) = 45 Reorder the terms: 5(3 + 2d) = 45 (3 * 5 + 2d * 5) = 45 (15 + 10d) = 45 Solving 15 + 10d = 45 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10d = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 10d = 45 + -15 10d = 45 + -15 Combine like terms: 45 + -15 = 30 10d = 30 Divide each side by '10'. d = 3 Simplifying d = 3
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