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Simplifying 2d + 5 = 1.5d + 8 Reorder the terms: 5 + 2d = 1.5d + 8 Reorder the terms: 5 + 2d = 8 + 1.5d Solving 5 + 2d = 8 + 1.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.5d' to each side of the equation. 5 + 2d + -1.5d = 8 + 1.5d + -1.5d Combine like terms: 2d + -1.5d = 0.5d 5 + 0.5d = 8 + 1.5d + -1.5d Combine like terms: 1.5d + -1.5d = 0.0 5 + 0.5d = 8 + 0.0 5 + 0.5d = 8 Add '-5' to each side of the equation. 5 + -5 + 0.5d = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5d = 8 + -5 0.5d = 8 + -5 Combine like terms: 8 + -5 = 3 0.5d = 3 Divide each side by '0.5'. d = 6 Simplifying d = 6
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