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Simplifying 3p + 2d + -5d + 6 = 5d Reorder the terms: 6 + 2d + -5d + 3p = 5d Combine like terms: 2d + -5d = -3d 6 + -3d + 3p = 5d Solving 6 + -3d + 3p = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + -3d + -5d + 3p = 5d + -5d Combine like terms: -3d + -5d = -8d 6 + -8d + 3p = 5d + -5d Combine like terms: 5d + -5d = 0 6 + -8d + 3p = 0 Add '-6' to each side of the equation. 6 + -8d + -6 + 3p = 0 + -6 Reorder the terms: 6 + -6 + -8d + 3p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8d + 3p = 0 + -6 -8d + 3p = 0 + -6 Combine like terms: 0 + -6 = -6 -8d + 3p = -6 Add '-3p' to each side of the equation. -8d + 3p + -3p = -6 + -3p Combine like terms: 3p + -3p = 0 -8d + 0 = -6 + -3p -8d = -6 + -3p Divide each side by '-8'. d = 0.75 + 0.375p Simplifying d = 0.75 + 0.375p
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