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Simplifying 4d * 8 = 5 + 3d * 9 Reorder the terms for easier multiplication: 4 * 8d = 5 + 3d * 9 Multiply 4 * 8 32d = 5 + 3d * 9 Reorder the terms for easier multiplication: 32d = 5 + 3 * 9d Multiply 3 * 9 32d = 5 + 27d Solving 32d = 5 + 27d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27d' to each side of the equation. 32d + -27d = 5 + 27d + -27d Combine like terms: 32d + -27d = 5d 5d = 5 + 27d + -27d Combine like terms: 27d + -27d = 0 5d = 5 + 0 5d = 5 Divide each side by '5'. d = 1 Simplifying d = 1
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