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Simplifying 12r2 + 36rp + 27r2 = 0 Reorder the terms: 36pr + 12r2 + 27r2 = 0 Combine like terms: 12r2 + 27r2 = 39r2 36pr + 39r2 = 0 Solving 36pr + 39r2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-39r2' to each side of the equation. 36pr + 39r2 + -39r2 = 0 + -39r2 Combine like terms: 39r2 + -39r2 = 0 36pr + 0 = 0 + -39r2 36pr = 0 + -39r2 Remove the zero: 36pr = -39r2 Divide each side by '36r'. p = -1.083333333r Simplifying p = -1.083333333r
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