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Simplifying 2p + 3d + -1(p + d) = 0 Reorder the terms: 2p + 3d + -1(d + p) = 0 2p + 3d + (d * -1 + p * -1) = 0 2p + 3d + (-1d + -1p) = 0 Reorder the terms: 3d + -1d + 2p + -1p = 0 Combine like terms: 3d + -1d = 2d 2d + 2p + -1p = 0 Combine like terms: 2p + -1p = 1p 2d + 1p = 0 Solving 2d + 1p = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1p' to each side of the equation. 2d + 1p + -1p = 0 + -1p Combine like terms: 1p + -1p = 0 2d + 0 = 0 + -1p 2d = 0 + -1p Remove the zero: 2d = -1p Divide each side by '2'. d = -0.5p Simplifying d = -0.5p
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