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Simplifying 9(11 + -1d) = 3(3d + -9) (11 * 9 + -1d * 9) = 3(3d + -9) (99 + -9d) = 3(3d + -9) Reorder the terms: 99 + -9d = 3(-9 + 3d) 99 + -9d = (-9 * 3 + 3d * 3) 99 + -9d = (-27 + 9d) Solving 99 + -9d = -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. 99 + -9d + -9d = -27 + 9d + -9d Combine like terms: -9d + -9d = -18d 99 + -18d = -27 + 9d + -9d Combine like terms: 9d + -9d = 0 99 + -18d = -27 + 0 99 + -18d = -27 Add '-99' to each side of the equation. 99 + -99 + -18d = -27 + -99 Combine like terms: 99 + -99 = 0 0 + -18d = -27 + -99 -18d = -27 + -99 Combine like terms: -27 + -99 = -126 -18d = -126 Divide each side by '-18'. d = 7 Simplifying d = 7
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