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Simplifying 2p + 3(1 + -1p) = 4p + -1(1 + -1p) 2p + (1 * 3 + -1p * 3) = 4p + -1(1 + -1p) 2p + (3 + -3p) = 4p + -1(1 + -1p) Reorder the terms: 3 + 2p + -3p = 4p + -1(1 + -1p) Combine like terms: 2p + -3p = -1p 3 + -1p = 4p + -1(1 + -1p) 3 + -1p = 4p + (1 * -1 + -1p * -1) 3 + -1p = 4p + (-1 + 1p) Reorder the terms: 3 + -1p = -1 + 4p + 1p Combine like terms: 4p + 1p = 5p 3 + -1p = -1 + 5p Solving 3 + -1p = -1 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 3 + -1p + -5p = -1 + 5p + -5p Combine like terms: -1p + -5p = -6p 3 + -6p = -1 + 5p + -5p Combine like terms: 5p + -5p = 0 3 + -6p = -1 + 0 3 + -6p = -1 Add '-3' to each side of the equation. 3 + -3 + -6p = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -6p = -1 + -3 -6p = -1 + -3 Combine like terms: -1 + -3 = -4 -6p = -4 Divide each side by '-6'. p = 0.6666666667 Simplifying p = 0.6666666667
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