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Simplifying 5(1 + -2p) = 5(p + -2) (1 * 5 + -2p * 5) = 5(p + -2) (5 + -10p) = 5(p + -2) Reorder the terms: 5 + -10p = 5(-2 + p) 5 + -10p = (-2 * 5 + p * 5) 5 + -10p = (-10 + 5p) Solving 5 + -10p = -10 + 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 + -10p + -5p = -10 + 5p + -5p Combine like terms: -10p + -5p = -15p 5 + -15p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 5 + -15p = -10 + 0 5 + -15p = -10 Add '-5' to each side of the equation. 5 + -5 + -15p = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -15p = -10 + -5 -15p = -10 + -5 Combine like terms: -10 + -5 = -15 -15p = -15 Divide each side by '-15'. p = 1 Simplifying p = 1
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