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Simplifying 5(1 + -1p) = 4p + -4 (1 * 5 + -1p * 5) = 4p + -4 (5 + -5p) = 4p + -4 Reorder the terms: 5 + -5p = -4 + 4p Solving 5 + -5p = -4 + 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 + -5p + -4p = -4 + 4p + -4p Combine like terms: -5p + -4p = -9p 5 + -9p = -4 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + -9p = -4 + 0 5 + -9p = -4 Add '-5' to each side of the equation. 5 + -5 + -9p = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -9p = -4 + -5 -9p = -4 + -5 Combine like terms: -4 + -5 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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