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Simplifying 9(6d + 30) = 5d Reorder the terms: 9(30 + 6d) = 5d (30 * 9 + 6d * 9) = 5d (270 + 54d) = 5d Solving 270 + 54d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 270 + 54d + -5d = 5d + -5d Combine like terms: 54d + -5d = 49d 270 + 49d = 5d + -5d Combine like terms: 5d + -5d = 0 270 + 49d = 0 Add '-270' to each side of the equation. 270 + -270 + 49d = 0 + -270 Combine like terms: 270 + -270 = 0 0 + 49d = 0 + -270 49d = 0 + -270 Combine like terms: 0 + -270 = -270 49d = -270 Divide each side by '49'. d = -5.510204082 Simplifying d = -5.510204082
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