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