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Simplifying 6(3d + 5) = 75d Reorder the terms: 6(5 + 3d) = 75d (5 * 6 + 3d * 6) = 75d (30 + 18d) = 75d Solving 30 + 18d = 75d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-75d' to each side of the equation. 30 + 18d + -75d = 75d + -75d Combine like terms: 18d + -75d = -57d 30 + -57d = 75d + -75d Combine like terms: 75d + -75d = 0 30 + -57d = 0 Add '-30' to each side of the equation. 30 + -30 + -57d = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -57d = 0 + -30 -57d = 0 + -30 Combine like terms: 0 + -30 = -30 -57d = -30 Divide each side by '-57'. d = 0.5263157895 Simplifying d = 0.5263157895
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