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