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Simplifying 1.5d + 8.25 = 3 + 2.25d Reorder the terms: 8.25 + 1.5d = 3 + 2.25d Solving 8.25 + 1.5d = 3 + 2.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.25d' to each side of the equation. 8.25 + 1.5d + -2.25d = 3 + 2.25d + -2.25d Combine like terms: 1.5d + -2.25d = -0.75d 8.25 + -0.75d = 3 + 2.25d + -2.25d Combine like terms: 2.25d + -2.25d = 0.00 8.25 + -0.75d = 3 + 0.00 8.25 + -0.75d = 3 Add '-8.25' to each side of the equation. 8.25 + -8.25 + -0.75d = 3 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -0.75d = 3 + -8.25 -0.75d = 3 + -8.25 Combine like terms: 3 + -8.25 = -5.25 -0.75d = -5.25 Divide each side by '-0.75'. d = 7 Simplifying d = 7
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