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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] Add '-18' to each side of the equation. 18 + -18 + 9d = 18 + -18 + 2d Combine like terms: 18 + -18 = 0 0 + 9d = 18 + -18 + 2d 9d = 18 + -18 + 2d Combine like terms: 18 + -18 = 0 9d = 0 + 2d 9d = 2d Solving 9d = 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. 9d + -2d = 2d + -2d Combine like terms: 9d + -2d = 7d 7d = 2d + -2d Combine like terms: 2d + -2d = 0 7d = 0 Divide each side by '7'. d = 0 Simplifying d = 0
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