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Simplifying (4d + 2) + (7 + -3d) = 0 Reorder the terms: (2 + 4d) + (7 + -3d) = 0 Remove parenthesis around (2 + 4d) 2 + 4d + (7 + -3d) = 0 Remove parenthesis around (7 + -3d) 2 + 4d + 7 + -3d = 0 Reorder the terms: 2 + 7 + 4d + -3d = 0 Combine like terms: 2 + 7 = 9 9 + 4d + -3d = 0 Combine like terms: 4d + -3d = 1d 9 + 1d = 0 Solving 9 + 1d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1d = 0 + -9 1d = 0 + -9 Combine like terms: 0 + -9 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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