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Simplifying -3p + (1 + -1p) = 2p + -1(1 + -1p) Remove parenthesis around (1 + -1p) -3p + 1 + -1p = 2p + -1(1 + -1p) Reorder the terms: 1 + -3p + -1p = 2p + -1(1 + -1p) Combine like terms: -3p + -1p = -4p 1 + -4p = 2p + -1(1 + -1p) 1 + -4p = 2p + (1 * -1 + -1p * -1) 1 + -4p = 2p + (-1 + 1p) Reorder the terms: 1 + -4p = -1 + 2p + 1p Combine like terms: 2p + 1p = 3p 1 + -4p = -1 + 3p Solving 1 + -4p = -1 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 1 + -4p + -3p = -1 + 3p + -3p Combine like terms: -4p + -3p = -7p 1 + -7p = -1 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + -7p = -1 + 0 1 + -7p = -1 Add '-1' to each side of the equation. 1 + -1 + -7p = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -7p = -1 + -1 -7p = -1 + -1 Combine like terms: -1 + -1 = -2 -7p = -2 Divide each side by '-7'. p = 0.2857142857 Simplifying p = 0.2857142857
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