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Simplifying 4p2 + -11p = 4p2 + 3p + 1.5 Reorder the terms: -11p + 4p2 = 4p2 + 3p + 1.5 Reorder the terms: -11p + 4p2 = 1.5 + 3p + 4p2 Add '-4p2' to each side of the equation. -11p + 4p2 + -4p2 = 1.5 + 3p + 4p2 + -4p2 Combine like terms: 4p2 + -4p2 = 0 -11p + 0 = 1.5 + 3p + 4p2 + -4p2 -11p = 1.5 + 3p + 4p2 + -4p2 Combine like terms: 4p2 + -4p2 = 0 -11p = 1.5 + 3p + 0 -11p = 1.5 + 3p Solving -11p = 1.5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -11p + -3p = 1.5 + 3p + -3p Combine like terms: -11p + -3p = -14p -14p = 1.5 + 3p + -3p Combine like terms: 3p + -3p = 0 -14p = 1.5 + 0 -14p = 1.5 Divide each side by '-14'. p = -0.1071428571 Simplifying p = -0.1071428571
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