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Simplifying 3(d + 3) + -1(2d + -1) + 11d + 8 = 0 Reorder the terms: 3(3 + d) + -1(2d + -1) + 11d + 8 = 0 (3 * 3 + d * 3) + -1(2d + -1) + 11d + 8 = 0 (9 + 3d) + -1(2d + -1) + 11d + 8 = 0 Reorder the terms: 9 + 3d + -1(-1 + 2d) + 11d + 8 = 0 9 + 3d + (-1 * -1 + 2d * -1) + 11d + 8 = 0 9 + 3d + (1 + -2d) + 11d + 8 = 0 Reorder the terms: 9 + 1 + 8 + 3d + -2d + 11d = 0 Combine like terms: 9 + 1 = 10 10 + 8 + 3d + -2d + 11d = 0 Combine like terms: 10 + 8 = 18 18 + 3d + -2d + 11d = 0 Combine like terms: 3d + -2d = 1d 18 + 1d + 11d = 0 Combine like terms: 1d + 11d = 12d 18 + 12d = 0 Solving 18 + 12d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12d = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12d = 0 + -18 12d = 0 + -18 Combine like terms: 0 + -18 = -18 12d = -18 Divide each side by '12'. d = -1.5 Simplifying d = -1.5
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