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Simplifying -1p + 4(1 + -1p) = 2p + -3(1 + -1p) -1p + (1 * 4 + -1p * 4) = 2p + -3(1 + -1p) -1p + (4 + -4p) = 2p + -3(1 + -1p) Reorder the terms: 4 + -1p + -4p = 2p + -3(1 + -1p) Combine like terms: -1p + -4p = -5p 4 + -5p = 2p + -3(1 + -1p) 4 + -5p = 2p + (1 * -3 + -1p * -3) 4 + -5p = 2p + (-3 + 3p) Reorder the terms: 4 + -5p = -3 + 2p + 3p Combine like terms: 2p + 3p = 5p 4 + -5p = -3 + 5p Solving 4 + -5p = -3 + 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. 4 + -5p + -5p = -3 + 5p + -5p Combine like terms: -5p + -5p = -10p 4 + -10p = -3 + 5p + -5p Combine like terms: 5p + -5p = 0 4 + -10p = -3 + 0 4 + -10p = -3 Add '-4' to each side of the equation. 4 + -4 + -10p = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -10p = -3 + -4 -10p = -3 + -4 Combine like terms: -3 + -4 = -7 -10p = -7 Divide each side by '-10'. p = 0.7 Simplifying p = 0.7
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