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Simplifying 3(p + 1) = 5(p + -1) Reorder the terms: 3(1 + p) = 5(p + -1) (1 * 3 + p * 3) = 5(p + -1) (3 + 3p) = 5(p + -1) Reorder the terms: 3 + 3p = 5(-1 + p) 3 + 3p = (-1 * 5 + p * 5) 3 + 3p = (-5 + 5p) Solving 3 + 3p = -5 + 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. 3 + 3p + -5p = -5 + 5p + -5p Combine like terms: 3p + -5p = -2p 3 + -2p = -5 + 5p + -5p Combine like terms: 5p + -5p = 0 3 + -2p = -5 + 0 3 + -2p = -5 Add '-3' to each side of the equation. 3 + -3 + -2p = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = -5 + -3 -2p = -5 + -3 Combine like terms: -5 + -3 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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