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Simplifying 2p + 5(1 + -1p) = 5p + 2(1 + -1p) 2p + (1 * 5 + -1p * 5) = 5p + 2(1 + -1p) 2p + (5 + -5p) = 5p + 2(1 + -1p) Reorder the terms: 5 + 2p + -5p = 5p + 2(1 + -1p) Combine like terms: 2p + -5p = -3p 5 + -3p = 5p + 2(1 + -1p) 5 + -3p = 5p + (1 * 2 + -1p * 2) 5 + -3p = 5p + (2 + -2p) Reorder the terms: 5 + -3p = 2 + 5p + -2p Combine like terms: 5p + -2p = 3p 5 + -3p = 2 + 3p Solving 5 + -3p = 2 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 5 + -3p + -3p = 2 + 3p + -3p Combine like terms: -3p + -3p = -6p 5 + -6p = 2 + 3p + -3p Combine like terms: 3p + -3p = 0 5 + -6p = 2 + 0 5 + -6p = 2 Add '-5' to each side of the equation. 5 + -5 + -6p = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -6p = 2 + -5 -6p = 2 + -5 Combine like terms: 2 + -5 = -3 -6p = -3 Divide each side by '-6'. p = 0.5 Simplifying p = 0.5
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