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Simplifying 7(5d + 6) = 27 + 9d Reorder the terms: 7(6 + 5d) = 27 + 9d (6 * 7 + 5d * 7) = 27 + 9d (42 + 35d) = 27 + 9d Solving 42 + 35d = 27 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 42 + 35d + -9d = 27 + 9d + -9d Combine like terms: 35d + -9d = 26d 42 + 26d = 27 + 9d + -9d Combine like terms: 9d + -9d = 0 42 + 26d = 27 + 0 42 + 26d = 27 Add '-42' to each side of the equation. 42 + -42 + 26d = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 26d = 27 + -42 26d = 27 + -42 Combine like terms: 27 + -42 = -15 26d = -15 Divide each side by '26'. d = -0.5769230769 Simplifying d = -0.5769230769
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