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Simplifying 5p + (-2)(1 + -1p) = -1p + 3(1 + -1p) 5p + (1 * -2 + -1p * -2) = -1p + 3(1 + -1p) 5p + (-2 + 2p) = -1p + 3(1 + -1p) Reorder the terms: -2 + 5p + 2p = -1p + 3(1 + -1p) Combine like terms: 5p + 2p = 7p -2 + 7p = -1p + 3(1 + -1p) -2 + 7p = -1p + (1 * 3 + -1p * 3) -2 + 7p = -1p + (3 + -3p) Reorder the terms: -2 + 7p = 3 + -1p + -3p Combine like terms: -1p + -3p = -4p -2 + 7p = 3 + -4p Solving -2 + 7p = 3 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -2 + 7p + 4p = 3 + -4p + 4p Combine like terms: 7p + 4p = 11p -2 + 11p = 3 + -4p + 4p Combine like terms: -4p + 4p = 0 -2 + 11p = 3 + 0 -2 + 11p = 3 Add '2' to each side of the equation. -2 + 2 + 11p = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 11p = 3 + 2 11p = 3 + 2 Combine like terms: 3 + 2 = 5 11p = 5 Divide each side by '11'. p = 0.4545454545 Simplifying p = 0.4545454545
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