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Simplifying -3p + 1(1 + -1p) = 4p + -2(1 + -1p) -3p + (1 * 1 + -1p * 1) = 4p + -2(1 + -1p) -3p + (1 + -1p) = 4p + -2(1 + -1p) Reorder the terms: 1 + -3p + -1p = 4p + -2(1 + -1p) Combine like terms: -3p + -1p = -4p 1 + -4p = 4p + -2(1 + -1p) 1 + -4p = 4p + (1 * -2 + -1p * -2) 1 + -4p = 4p + (-2 + 2p) Reorder the terms: 1 + -4p = -2 + 4p + 2p Combine like terms: 4p + 2p = 6p 1 + -4p = -2 + 6p Solving 1 + -4p = -2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 1 + -4p + -6p = -2 + 6p + -6p Combine like terms: -4p + -6p = -10p 1 + -10p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 1 + -10p = -2 + 0 1 + -10p = -2 Add '-1' to each side of the equation. 1 + -1 + -10p = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -10p = -2 + -1 -10p = -2 + -1 Combine like terms: -2 + -1 = -3 -10p = -3 Divide each side by '-10'. p = 0.3 Simplifying p = 0.3
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