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Simplifying d + 3 = 2(9 + -1d) Reorder the terms: 3 + d = 2(9 + -1d) 3 + d = (9 * 2 + -1d * 2) 3 + d = (18 + -2d) Solving 3 + d = 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. 3 + d + 2d = 18 + -2d + 2d Combine like terms: d + 2d = 3d 3 + 3d = 18 + -2d + 2d Combine like terms: -2d + 2d = 0 3 + 3d = 18 + 0 3 + 3d = 18 Add '-3' to each side of the equation. 3 + -3 + 3d = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3d = 18 + -3 3d = 18 + -3 Combine like terms: 18 + -3 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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