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Simplifying 4p + 5(2p + 5) = -19 + 3p Reorder the terms: 4p + 5(5 + 2p) = -19 + 3p 4p + (5 * 5 + 2p * 5) = -19 + 3p 4p + (25 + 10p) = -19 + 3p Reorder the terms: 25 + 4p + 10p = -19 + 3p Combine like terms: 4p + 10p = 14p 25 + 14p = -19 + 3p Solving 25 + 14p = -19 + 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. 25 + 14p + -3p = -19 + 3p + -3p Combine like terms: 14p + -3p = 11p 25 + 11p = -19 + 3p + -3p Combine like terms: 3p + -3p = 0 25 + 11p = -19 + 0 25 + 11p = -19 Add '-25' to each side of the equation. 25 + -25 + 11p = -19 + -25 Combine like terms: 25 + -25 = 0 0 + 11p = -19 + -25 11p = -19 + -25 Combine like terms: -19 + -25 = -44 11p = -44 Divide each side by '11'. p = -4 Simplifying p = -4
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