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Simplifying 100(1.5d + 3.25) = 100(1 + 2.25d) Reorder the terms: 100(3.25 + 1.5d) = 100(1 + 2.25d) (3.25 * 100 + 1.5d * 100) = 100(1 + 2.25d) (325 + 150d) = 100(1 + 2.25d) 325 + 150d = (1 * 100 + 2.25d * 100) 325 + 150d = (100 + 225d) Solving 325 + 150d = 100 + 225d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-225d' to each side of the equation. 325 + 150d + -225d = 100 + 225d + -225d Combine like terms: 150d + -225d = -75d 325 + -75d = 100 + 225d + -225d Combine like terms: 225d + -225d = 0 325 + -75d = 100 + 0 325 + -75d = 100 Add '-325' to each side of the equation. 325 + -325 + -75d = 100 + -325 Combine like terms: 325 + -325 = 0 0 + -75d = 100 + -325 -75d = 100 + -325 Combine like terms: 100 + -325 = -225 -75d = -225 Divide each side by '-75'. d = 3 Simplifying d = 3
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