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Simplifying 3d + 2(d + 9) = -3(d + -6) Reorder the terms: 3d + 2(9 + d) = -3(d + -6) 3d + (9 * 2 + d * 2) = -3(d + -6) 3d + (18 + 2d) = -3(d + -6) Reorder the terms: 18 + 3d + 2d = -3(d + -6) Combine like terms: 3d + 2d = 5d 18 + 5d = -3(d + -6) Reorder the terms: 18 + 5d = -3(-6 + d) 18 + 5d = (-6 * -3 + d * -3) 18 + 5d = (18 + -3d) Add '-18' to each side of the equation. 18 + -18 + 5d = 18 + -18 + -3d Combine like terms: 18 + -18 = 0 0 + 5d = 18 + -18 + -3d 5d = 18 + -18 + -3d Combine like terms: 18 + -18 = 0 5d = 0 + -3d 5d = -3d Solving 5d = -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 5d + 3d = -3d + 3d Combine like terms: 5d + 3d = 8d 8d = -3d + 3d Combine like terms: -3d + 3d = 0 8d = 0 Divide each side by '8'. d = 0 Simplifying d = 0
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