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Simplifying 5(p + -1) = 2(p + 1) Reorder the terms: 5(-1 + p) = 2(p + 1) (-1 * 5 + p * 5) = 2(p + 1) (-5 + 5p) = 2(p + 1) Reorder the terms: -5 + 5p = 2(1 + p) -5 + 5p = (1 * 2 + p * 2) -5 + 5p = (2 + 2p) Solving -5 + 5p = 2 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -5 + 5p + -2p = 2 + 2p + -2p Combine like terms: 5p + -2p = 3p -5 + 3p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + 3p = 2 + 0 -5 + 3p = 2 Add '5' to each side of the equation. -5 + 5 + 3p = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 3p = 2 + 5 3p = 2 + 5 Combine like terms: 2 + 5 = 7 3p = 7 Divide each side by '3'. p = 2.333333333 Simplifying p = 2.333333333
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