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Simplifying 2(p + 1) = 5(p + -5) Reorder the terms: 2(1 + p) = 5(p + -5) (1 * 2 + p * 2) = 5(p + -5) (2 + 2p) = 5(p + -5) Reorder the terms: 2 + 2p = 5(-5 + p) 2 + 2p = (-5 * 5 + p * 5) 2 + 2p = (-25 + 5p) Solving 2 + 2p = -25 + 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. 2 + 2p + -5p = -25 + 5p + -5p Combine like terms: 2p + -5p = -3p 2 + -3p = -25 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -3p = -25 + 0 2 + -3p = -25 Add '-2' to each side of the equation. 2 + -2 + -3p = -25 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = -25 + -2 -3p = -25 + -2 Combine like terms: -25 + -2 = -27 -3p = -27 Divide each side by '-3'. p = 9 Simplifying p = 9
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