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Simplifying 5(p + -1) = 3(p + 3) Reorder the terms: 5(-1 + p) = 3(p + 3) (-1 * 5 + p * 5) = 3(p + 3) (-5 + 5p) = 3(p + 3) Reorder the terms: -5 + 5p = 3(3 + p) -5 + 5p = (3 * 3 + p * 3) -5 + 5p = (9 + 3p) Solving -5 + 5p = 9 + 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. -5 + 5p + -3p = 9 + 3p + -3p Combine like terms: 5p + -3p = 2p -5 + 2p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 -5 + 2p = 9 + 0 -5 + 2p = 9 Add '5' to each side of the equation. -5 + 5 + 2p = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2p = 9 + 5 2p = 9 + 5 Combine like terms: 9 + 5 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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