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Simplifying 0.5(7d + 4) = 7 + -15d Reorder the terms: 0.5(4 + 7d) = 7 + -15d (4 * 0.5 + 7d * 0.5) = 7 + -15d (2 + 3.5d) = 7 + -15d Solving 2 + 3.5d = 7 + -15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15d' to each side of the equation. 2 + 3.5d + 15d = 7 + -15d + 15d Combine like terms: 3.5d + 15d = 18.5d 2 + 18.5d = 7 + -15d + 15d Combine like terms: -15d + 15d = 0 2 + 18.5d = 7 + 0 2 + 18.5d = 7 Add '-2' to each side of the equation. 2 + -2 + 18.5d = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 18.5d = 7 + -2 18.5d = 7 + -2 Combine like terms: 7 + -2 = 5 18.5d = 5 Divide each side by '18.5'. d = 0.2702702703 Simplifying d = 0.2702702703
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