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Simplifying 3p + (1 + -1p)(1) = 1p + (1 + -1p)(4) Reorder the terms for easier multiplication: 3p + 1(1 + -1p) = 1p + (1 + -1p)(4) 3p + (1 * 1 + -1p * 1) = 1p + (1 + -1p)(4) 3p + (1 + -1p) = 1p + (1 + -1p)(4) Reorder the terms: 1 + 3p + -1p = 1p + (1 + -1p)(4) Combine like terms: 3p + -1p = 2p 1 + 2p = 1p + (1 + -1p)(4) Reorder the terms for easier multiplication: 1 + 2p = 1p + 4(1 + -1p) 1 + 2p = 1p + (1 * 4 + -1p * 4) 1 + 2p = 1p + (4 + -4p) Reorder the terms: 1 + 2p = 4 + 1p + -4p Combine like terms: 1p + -4p = -3p 1 + 2p = 4 + -3p Solving 1 + 2p = 4 + -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 + 2p + 3p = 4 + -3p + 3p Combine like terms: 2p + 3p = 5p 1 + 5p = 4 + -3p + 3p Combine like terms: -3p + 3p = 0 1 + 5p = 4 + 0 1 + 5p = 4 Add '-1' to each side of the equation. 1 + -1 + 5p = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 4 + -1 5p = 4 + -1 Combine like terms: 4 + -1 = 3 5p = 3 Divide each side by '5'. p = 0.6 Simplifying p = 0.6
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