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Simplifying 27(d + 1) = 9 + 7d Reorder the terms: 27(1 + d) = 9 + 7d (1 * 27 + d * 27) = 9 + 7d (27 + 27d) = 9 + 7d Solving 27 + 27d = 9 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 27 + 27d + -7d = 9 + 7d + -7d Combine like terms: 27d + -7d = 20d 27 + 20d = 9 + 7d + -7d Combine like terms: 7d + -7d = 0 27 + 20d = 9 + 0 27 + 20d = 9 Add '-27' to each side of the equation. 27 + -27 + 20d = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 20d = 9 + -27 20d = 9 + -27 Combine like terms: 9 + -27 = -18 20d = -18 Divide each side by '20'. d = -0.9 Simplifying d = -0.9
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