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Simplifying 12p + 5pd + -3p + -6pd = 0 Reorder the terms: 5dp + -6dp + 12p + -3p = 0 Combine like terms: 5dp + -6dp = -1dp -1dp + 12p + -3p = 0 Combine like terms: 12p + -3p = 9p -1dp + 9p = 0 Solving -1dp + 9p = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9p' to each side of the equation. -1dp + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 -1dp + 0 = 0 + -9p -1dp = 0 + -9p Remove the zero: -1dp = -9p Divide each side by '-1p'. d = 9 Simplifying d = 9
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