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Simplifying (3p + 7) = (5p + -19) Reorder the terms: (7 + 3p) = (5p + -19) Remove parenthesis around (7 + 3p) 7 + 3p = (5p + -19) Reorder the terms: 7 + 3p = (-19 + 5p) Remove parenthesis around (-19 + 5p) 7 + 3p = -19 + 5p Solving 7 + 3p = -19 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 7 + 3p + -5p = -19 + 5p + -5p Combine like terms: 3p + -5p = -2p 7 + -2p = -19 + 5p + -5p Combine like terms: 5p + -5p = 0 7 + -2p = -19 + 0 7 + -2p = -19 Add '-7' to each side of the equation. 7 + -7 + -2p = -19 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = -19 + -7 -2p = -19 + -7 Combine like terms: -19 + -7 = -26 -2p = -26 Divide each side by '-2'. p = 13 Simplifying p = 13
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