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