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