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