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Simplifying 4p + 5(1 + -1p) = 5p + 1(1 + -1p) 4p + (1 * 5 + -1p * 5) = 5p + 1(1 + -1p) 4p + (5 + -5p) = 5p + 1(1 + -1p) Reorder the terms: 5 + 4p + -5p = 5p + 1(1 + -1p) Combine like terms: 4p + -5p = -1p 5 + -1p = 5p + 1(1 + -1p) 5 + -1p = 5p + (1 * 1 + -1p * 1) 5 + -1p = 5p + (1 + -1p) Reorder the terms: 5 + -1p = 1 + 5p + -1p Combine like terms: 5p + -1p = 4p 5 + -1p = 1 + 4p Solving 5 + -1p = 1 + 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. 5 + -1p + -4p = 1 + 4p + -4p Combine like terms: -1p + -4p = -5p 5 + -5p = 1 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + -5p = 1 + 0 5 + -5p = 1 Add '-5' to each side of the equation. 5 + -5 + -5p = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -5p = 1 + -5 -5p = 1 + -5 Combine like terms: 1 + -5 = -4 -5p = -4 Divide each side by '-5'. p = 0.8 Simplifying p = 0.8
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