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Simplifying 2.1d + 18 = 216(d + 8) Reorder the terms: 18 + 2.1d = 216(d + 8) Reorder the terms: 18 + 2.1d = 216(8 + d) 18 + 2.1d = (8 * 216 + d * 216) 18 + 2.1d = (1728 + 216d) Solving 18 + 2.1d = 1728 + 216d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-216d' to each side of the equation. 18 + 2.1d + -216d = 1728 + 216d + -216d Combine like terms: 2.1d + -216d = -213.9d 18 + -213.9d = 1728 + 216d + -216d Combine like terms: 216d + -216d = 0 18 + -213.9d = 1728 + 0 18 + -213.9d = 1728 Add '-18' to each side of the equation. 18 + -18 + -213.9d = 1728 + -18 Combine like terms: 18 + -18 = 0 0 + -213.9d = 1728 + -18 -213.9d = 1728 + -18 Combine like terms: 1728 + -18 = 1710 -213.9d = 1710 Divide each side by '-213.9'. d = -7.994389902 Simplifying d = -7.994389902
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