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Simplifying (4d + 5) + (3d + 7) = 0 Reorder the terms: (5 + 4d) + (3d + 7) = 0 Remove parenthesis around (5 + 4d) 5 + 4d + (3d + 7) = 0 Reorder the terms: 5 + 4d + (7 + 3d) = 0 Remove parenthesis around (7 + 3d) 5 + 4d + 7 + 3d = 0 Reorder the terms: 5 + 7 + 4d + 3d = 0 Combine like terms: 5 + 7 = 12 12 + 4d + 3d = 0 Combine like terms: 4d + 3d = 7d 12 + 7d = 0 Solving 12 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7d = 0 + -12 7d = 0 + -12 Combine like terms: 0 + -12 = -12 7d = -12 Divide each side by '7'. d = -1.714285714 Simplifying d = -1.714285714
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