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Simplifying -5p + 3(1 + -1p) = 3p + -1(1 + -1p) -5p + (1 * 3 + -1p * 3) = 3p + -1(1 + -1p) -5p + (3 + -3p) = 3p + -1(1 + -1p) Reorder the terms: 3 + -5p + -3p = 3p + -1(1 + -1p) Combine like terms: -5p + -3p = -8p 3 + -8p = 3p + -1(1 + -1p) 3 + -8p = 3p + (1 * -1 + -1p * -1) 3 + -8p = 3p + (-1 + 1p) Reorder the terms: 3 + -8p = -1 + 3p + 1p Combine like terms: 3p + 1p = 4p 3 + -8p = -1 + 4p Solving 3 + -8p = -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. 3 + -8p + -4p = -1 + 4p + -4p Combine like terms: -8p + -4p = -12p 3 + -12p = -1 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + -12p = -1 + 0 3 + -12p = -1 Add '-3' to each side of the equation. 3 + -3 + -12p = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -12p = -1 + -3 -12p = -1 + -3 Combine like terms: -1 + -3 = -4 -12p = -4 Divide each side by '-12'. p = 0.3333333333 Simplifying p = 0.3333333333
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