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Simplifying 9(d + 2) = 2(d + 2) Reorder the terms: 9(2 + d) = 2(d + 2) (2 * 9 + d * 9) = 2(d + 2) (18 + 9d) = 2(d + 2) Reorder the terms: 18 + 9d = 2(2 + d) 18 + 9d = (2 * 2 + d * 2) 18 + 9d = (4 + 2d) Solving 18 + 9d = 4 + 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 = 4 + 2d + -2d Combine like terms: 9d + -2d = 7d 18 + 7d = 4 + 2d + -2d Combine like terms: 2d + -2d = 0 18 + 7d = 4 + 0 18 + 7d = 4 Add '-18' to each side of the equation. 18 + -18 + 7d = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 7d = 4 + -18 7d = 4 + -18 Combine like terms: 4 + -18 = -14 7d = -14 Divide each side by '7'. d = -2 Simplifying d = -2
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