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Simplifying 0.5(7d + 4) = 71.5d Reorder the terms: 0.5(4 + 7d) = 71.5d (4 * 0.5 + 7d * 0.5) = 71.5d (2 + 3.5d) = 71.5d Solving 2 + 3.5d = 71.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-71.5d' to each side of the equation. 2 + 3.5d + -71.5d = 71.5d + -71.5d Combine like terms: 3.5d + -71.5d = -68d 2 + -68d = 71.5d + -71.5d Combine like terms: 71.5d + -71.5d = 0.0 2 + -68d = 0.0 Add '-2' to each side of the equation. 2 + -2 + -68d = 0.0 + -2 Combine like terms: 2 + -2 = 0 0 + -68d = 0.0 + -2 -68d = 0.0 + -2 Combine like terms: 0.0 + -2 = -2 -68d = -2 Divide each side by '-68'. d = 0.02941176471 Simplifying d = 0.02941176471
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