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Simplifying 9(d + 2) = 4(5 + d) Reorder the terms: 9(2 + d) = 4(5 + d) (2 * 9 + d * 9) = 4(5 + d) (18 + 9d) = 4(5 + d) 18 + 9d = (5 * 4 + d * 4) 18 + 9d = (20 + 4d) Solving 18 + 9d = 20 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 18 + 9d + -4d = 20 + 4d + -4d Combine like terms: 9d + -4d = 5d 18 + 5d = 20 + 4d + -4d Combine like terms: 4d + -4d = 0 18 + 5d = 20 + 0 18 + 5d = 20 Add '-18' to each side of the equation. 18 + -18 + 5d = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 5d = 20 + -18 5d = 20 + -18 Combine like terms: 20 + -18 = 2 5d = 2 Divide each side by '5'. d = 0.4 Simplifying d = 0.4
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