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Simplifying 1.5d + 7.75 = 1 + 2.25d Reorder the terms: 7.75 + 1.5d = 1 + 2.25d Solving 7.75 + 1.5d = 1 + 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. 7.75 + 1.5d + -2.25d = 1 + 2.25d + -2.25d Combine like terms: 1.5d + -2.25d = -0.75d 7.75 + -0.75d = 1 + 2.25d + -2.25d Combine like terms: 2.25d + -2.25d = 0.00 7.75 + -0.75d = 1 + 0.00 7.75 + -0.75d = 1 Add '-7.75' to each side of the equation. 7.75 + -7.75 + -0.75d = 1 + -7.75 Combine like terms: 7.75 + -7.75 = 0.00 0.00 + -0.75d = 1 + -7.75 -0.75d = 1 + -7.75 Combine like terms: 1 + -7.75 = -6.75 -0.75d = -6.75 Divide each side by '-0.75'. d = 9 Simplifying d = 9
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