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Simplifying 2p + 4(1 + -1p) = 3p + -1(1 + -1p) 2p + (1 * 4 + -1p * 4) = 3p + -1(1 + -1p) 2p + (4 + -4p) = 3p + -1(1 + -1p) Reorder the terms: 4 + 2p + -4p = 3p + -1(1 + -1p) Combine like terms: 2p + -4p = -2p 4 + -2p = 3p + -1(1 + -1p) 4 + -2p = 3p + (1 * -1 + -1p * -1) 4 + -2p = 3p + (-1 + 1p) Reorder the terms: 4 + -2p = -1 + 3p + 1p Combine like terms: 3p + 1p = 4p 4 + -2p = -1 + 4p Solving 4 + -2p = -1 + 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. 4 + -2p + -4p = -1 + 4p + -4p Combine like terms: -2p + -4p = -6p 4 + -6p = -1 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + -6p = -1 + 0 4 + -6p = -1 Add '-4' to each side of the equation. 4 + -4 + -6p = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -6p = -1 + -4 -6p = -1 + -4 Combine like terms: -1 + -4 = -5 -6p = -5 Divide each side by '-6'. p = 0.8333333333 Simplifying p = 0.8333333333
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