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Simplifying 2 = -2p + -1(p + 1) Reorder the terms: 2 = -2p + -1(1 + p) 2 = -2p + (1 * -1 + p * -1) 2 = -2p + (-1 + -1p) Reorder the terms: 2 = -1 + -2p + -1p Combine like terms: -2p + -1p = -3p 2 = -1 + -3p Solving 2 = -1 + -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. 2 + 3p = -1 + -3p + 3p Combine like terms: -3p + 3p = 0 2 + 3p = -1 + 0 2 + 3p = -1 Add '-2' to each side of the equation. 2 + -2 + 3p = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = -1 + -2 3p = -1 + -2 Combine like terms: -1 + -2 = -3 3p = -3 Divide each side by '3'. p = -1 Simplifying p = -1
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