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Simplifying 0.5(d + 6) = 48d Reorder the terms: 0.5(6 + d) = 48d (6 * 0.5 + d * 0.5) = 48d (3 + 0.5d) = 48d Solving 3 + 0.5d = 48d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-48d' to each side of the equation. 3 + 0.5d + -48d = 48d + -48d Combine like terms: 0.5d + -48d = -47.5d 3 + -47.5d = 48d + -48d Combine like terms: 48d + -48d = 0 3 + -47.5d = 0 Add '-3' to each side of the equation. 3 + -3 + -47.5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -47.5d = 0 + -3 -47.5d = 0 + -3 Combine like terms: 0 + -3 = -3 -47.5d = -3 Divide each side by '-47.5'. d = 0.06315789474 Simplifying d = 0.06315789474
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