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Simplifying (3d + 1) + (4d + 3) + -1(5d + -6) = 0 Reorder the terms: (1 + 3d) + (4d + 3) + -1(5d + -6) = 0 Remove parenthesis around (1 + 3d) 1 + 3d + (4d + 3) + -1(5d + -6) = 0 Reorder the terms: 1 + 3d + (3 + 4d) + -1(5d + -6) = 0 Remove parenthesis around (3 + 4d) 1 + 3d + 3 + 4d + -1(5d + -6) = 0 Reorder the terms: 1 + 3d + 3 + 4d + -1(-6 + 5d) = 0 1 + 3d + 3 + 4d + (-6 * -1 + 5d * -1) = 0 1 + 3d + 3 + 4d + (6 + -5d) = 0 Reorder the terms: 1 + 3 + 6 + 3d + 4d + -5d = 0 Combine like terms: 1 + 3 = 4 4 + 6 + 3d + 4d + -5d = 0 Combine like terms: 4 + 6 = 10 10 + 3d + 4d + -5d = 0 Combine like terms: 3d + 4d = 7d 10 + 7d + -5d = 0 Combine like terms: 7d + -5d = 2d 10 + 2d = 0 Solving 10 + 2d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = 0 + -10 2d = 0 + -10 Combine like terms: 0 + -10 = -10 2d = -10 Divide each side by '2'. d = -5 Simplifying d = -5
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