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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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