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Simplifying 3(d + 7) + 2(d + 9) = 0 Reorder the terms: 3(7 + d) + 2(d + 9) = 0 (7 * 3 + d * 3) + 2(d + 9) = 0 (21 + 3d) + 2(d + 9) = 0 Reorder the terms: 21 + 3d + 2(9 + d) = 0 21 + 3d + (9 * 2 + d * 2) = 0 21 + 3d + (18 + 2d) = 0 Reorder the terms: 21 + 18 + 3d + 2d = 0 Combine like terms: 21 + 18 = 39 39 + 3d + 2d = 0 Combine like terms: 3d + 2d = 5d 39 + 5d = 0 Solving 39 + 5d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 5d = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 5d = 0 + -39 5d = 0 + -39 Combine like terms: 0 + -39 = -39 5d = -39 Divide each side by '5'. d = -7.8 Simplifying d = -7.8
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