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Simplifying 1 + -1(5 + -2p) = 3 + -1(2p + -5) 1 + (5 * -1 + -2p * -1) = 3 + -1(2p + -5) 1 + (-5 + 2p) = 3 + -1(2p + -5) Combine like terms: 1 + -5 = -4 -4 + 2p = 3 + -1(2p + -5) Reorder the terms: -4 + 2p = 3 + -1(-5 + 2p) -4 + 2p = 3 + (-5 * -1 + 2p * -1) -4 + 2p = 3 + (5 + -2p) Combine like terms: 3 + 5 = 8 -4 + 2p = 8 + -2p Solving -4 + 2p = 8 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -4 + 2p + 2p = 8 + -2p + 2p Combine like terms: 2p + 2p = 4p -4 + 4p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -4 + 4p = 8 + 0 -4 + 4p = 8 Add '4' to each side of the equation. -4 + 4 + 4p = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = 8 + 4 4p = 8 + 4 Combine like terms: 8 + 4 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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