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Simplifying 22.5 + -6d = 3.5(4.5d + 4) Reorder the terms: 22.5 + -6d = 3.5(4 + 4.5d) 22.5 + -6d = (4 * 3.5 + 4.5d * 3.5) 22.5 + -6d = (14 + 15.75d) Solving 22.5 + -6d = 14 + 15.75d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15.75d' to each side of the equation. 22.5 + -6d + -15.75d = 14 + 15.75d + -15.75d Combine like terms: -6d + -15.75d = -21.75d 22.5 + -21.75d = 14 + 15.75d + -15.75d Combine like terms: 15.75d + -15.75d = 0.00 22.5 + -21.75d = 14 + 0.00 22.5 + -21.75d = 14 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -21.75d = 14 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -21.75d = 14 + -22.5 -21.75d = 14 + -22.5 Combine like terms: 14 + -22.5 = -8.5 -21.75d = -8.5 Divide each side by '-21.75'. d = 0.3908045977 Simplifying d = 0.3908045977
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