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Simplifying 3p + -19 = 7p + 4p + -43 Reorder the terms: -19 + 3p = 7p + 4p + -43 Reorder the terms: -19 + 3p = -43 + 7p + 4p Combine like terms: 7p + 4p = 11p -19 + 3p = -43 + 11p Solving -19 + 3p = -43 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -19 + 3p + -11p = -43 + 11p + -11p Combine like terms: 3p + -11p = -8p -19 + -8p = -43 + 11p + -11p Combine like terms: 11p + -11p = 0 -19 + -8p = -43 + 0 -19 + -8p = -43 Add '19' to each side of the equation. -19 + 19 + -8p = -43 + 19 Combine like terms: -19 + 19 = 0 0 + -8p = -43 + 19 -8p = -43 + 19 Combine like terms: -43 + 19 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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