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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 = 2p 4 + -2p = 1 + 2p Solving 4 + -2p = 1 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4 + -2p + -2p = 1 + 2p + -2p Combine like terms: -2p + -2p = -4p 4 + -4p = 1 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + -4p = 1 + 0 4 + -4p = 1 Add '-4' to each side of the equation. 4 + -4 + -4p = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -4p = 1 + -4 -4p = 1 + -4 Combine like terms: 1 + -4 = -3 -4p = -3 Divide each side by '-4'. p = 0.75 Simplifying p = 0.75
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