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Simplifying 4p + -5(1 + -1p) = 2p + -5(1 + -1p) 4p + (1 * -5 + -1p * -5) = 2p + -5(1 + -1p) 4p + (-5 + 5p) = 2p + -5(1 + -1p) Reorder the terms: -5 + 4p + 5p = 2p + -5(1 + -1p) Combine like terms: 4p + 5p = 9p -5 + 9p = 2p + -5(1 + -1p) -5 + 9p = 2p + (1 * -5 + -1p * -5) -5 + 9p = 2p + (-5 + 5p) Reorder the terms: -5 + 9p = -5 + 2p + 5p Combine like terms: 2p + 5p = 7p -5 + 9p = -5 + 7p Add '5' to each side of the equation. -5 + 5 + 9p = -5 + 5 + 7p Combine like terms: -5 + 5 = 0 0 + 9p = -5 + 5 + 7p 9p = -5 + 5 + 7p Combine like terms: -5 + 5 = 0 9p = 0 + 7p 9p = 7p Solving 9p = 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 9p + -7p = 7p + -7p Combine like terms: 9p + -7p = 2p 2p = 7p + -7p Combine like terms: 7p + -7p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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