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Simplifying 4(1 + -1p) = 4(2 + p) (1 * 4 + -1p * 4) = 4(2 + p) (4 + -4p) = 4(2 + p) 4 + -4p = (2 * 4 + p * 4) 4 + -4p = (8 + 4p) Solving 4 + -4p = 8 + 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. 4 + -4p + -4p = 8 + 4p + -4p Combine like terms: -4p + -4p = -8p 4 + -8p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + -8p = 8 + 0 4 + -8p = 8 Add '-4' to each side of the equation. 4 + -4 + -8p = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -8p = 8 + -4 -8p = 8 + -4 Combine like terms: 8 + -4 = 4 -8p = 4 Divide each side by '-8'. p = -0.5 Simplifying p = -0.5
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