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Simplifying -4p + 2(1 + -1p) = 2p + -2(1 + -1p) -4p + (1 * 2 + -1p * 2) = 2p + -2(1 + -1p) -4p + (2 + -2p) = 2p + -2(1 + -1p) Reorder the terms: 2 + -4p + -2p = 2p + -2(1 + -1p) Combine like terms: -4p + -2p = -6p 2 + -6p = 2p + -2(1 + -1p) 2 + -6p = 2p + (1 * -2 + -1p * -2) 2 + -6p = 2p + (-2 + 2p) Reorder the terms: 2 + -6p = -2 + 2p + 2p Combine like terms: 2p + 2p = 4p 2 + -6p = -2 + 4p Solving 2 + -6p = -2 + 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. 2 + -6p + -4p = -2 + 4p + -4p Combine like terms: -6p + -4p = -10p 2 + -10p = -2 + 4p + -4p Combine like terms: 4p + -4p = 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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