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Simplifying -5p + 1(1 + -1p) = 2p + (-3)(1 + -1p) -5p + (1 * 1 + -1p * 1) = 2p + (-3)(1 + -1p) -5p + (1 + -1p) = 2p + (-3)(1 + -1p) Reorder the terms: 1 + -5p + -1p = 2p + (-3)(1 + -1p) Combine like terms: -5p + -1p = -6p 1 + -6p = 2p + (-3)(1 + -1p) 1 + -6p = 2p + (1 * -3 + -1p * -3) 1 + -6p = 2p + (-3 + 3p) Reorder the terms: 1 + -6p = -3 + 2p + 3p Combine like terms: 2p + 3p = 5p 1 + -6p = -3 + 5p Solving 1 + -6p = -3 + 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. 1 + -6p + -5p = -3 + 5p + -5p Combine like terms: -6p + -5p = -11p 1 + -11p = -3 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + -11p = -3 + 0 1 + -11p = -3 Add '-1' to each side of the equation. 1 + -1 + -11p = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -11p = -3 + -1 -11p = -3 + -1 Combine like terms: -3 + -1 = -4 -11p = -4 Divide each side by '-11'. p = 0.3636363636 Simplifying p = 0.3636363636
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