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Simplifying 9(d + 2) = 2(d + -9) Reorder the terms: 9(2 + d) = 2(d + -9) (2 * 9 + d * 9) = 2(d + -9) (18 + 9d) = 2(d + -9) Reorder the terms: 18 + 9d = 2(-9 + d) 18 + 9d = (-9 * 2 + d * 2) 18 + 9d = (-18 + 2d) Solving 18 + 9d = -18 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 18 + 9d + -2d = -18 + 2d + -2d Combine like terms: 9d + -2d = 7d 18 + 7d = -18 + 2d + -2d Combine like terms: 2d + -2d = 0 18 + 7d = -18 + 0 18 + 7d = -18 Add '-18' to each side of the equation. 18 + -18 + 7d = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 7d = -18 + -18 7d = -18 + -18 Combine like terms: -18 + -18 = -36 7d = -36 Divide each side by '7'. d = -5.142857143 Simplifying d = -5.142857143
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