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Simplifying -3p + 2(1 + -1p) = 3p + (-2)(1 + -1p) -3p + (1 * 2 + -1p * 2) = 3p + (-2)(1 + -1p) -3p + (2 + -2p) = 3p + (-2)(1 + -1p) Reorder the terms: 2 + -3p + -2p = 3p + (-2)(1 + -1p) Combine like terms: -3p + -2p = -5p 2 + -5p = 3p + (-2)(1 + -1p) 2 + -5p = 3p + (1 * -2 + -1p * -2) 2 + -5p = 3p + (-2 + 2p) Reorder the terms: 2 + -5p = -2 + 3p + 2p Combine like terms: 3p + 2p = 5p 2 + -5p = -2 + 5p Solving 2 + -5p = -2 + 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. 2 + -5p + -5p = -2 + 5p + -5p Combine like terms: -5p + -5p = -10p 2 + -10p = -2 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -10p = -2 + 0 2 + -10p = -2 Add '-2' to each side of the equation. 2 + -2 + -10p = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -10p = -2 + -2 -10p = -2 + -2 Combine like terms: -2 + -2 = -4 -10p = -4 Divide each side by '-10'. p = 0.4 Simplifying p = 0.4
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