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Simplifying 9(2d + 7) = 11(d + 6) Reorder the terms: 9(7 + 2d) = 11(d + 6) (7 * 9 + 2d * 9) = 11(d + 6) (63 + 18d) = 11(d + 6) Reorder the terms: 63 + 18d = 11(6 + d) 63 + 18d = (6 * 11 + d * 11) 63 + 18d = (66 + 11d) Solving 63 + 18d = 66 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. 63 + 18d + -11d = 66 + 11d + -11d Combine like terms: 18d + -11d = 7d 63 + 7d = 66 + 11d + -11d Combine like terms: 11d + -11d = 0 63 + 7d = 66 + 0 63 + 7d = 66 Add '-63' to each side of the equation. 63 + -63 + 7d = 66 + -63 Combine like terms: 63 + -63 = 0 0 + 7d = 66 + -63 7d = 66 + -63 Combine like terms: 66 + -63 = 3 7d = 3 Divide each side by '7'. d = 0.4285714286 Simplifying d = 0.4285714286
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