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Simplifying 2p + (-3)(1 + -1p) = -2p + (1 + -1p) 2p + (1 * -3 + -1p * -3) = -2p + (1 + -1p) 2p + (-3 + 3p) = -2p + (1 + -1p) Reorder the terms: -3 + 2p + 3p = -2p + (1 + -1p) Combine like terms: 2p + 3p = 5p -3 + 5p = -2p + (1 + -1p) Remove parenthesis around (1 + -1p) -3 + 5p = -2p + 1 + -1p Reorder the terms: -3 + 5p = 1 + -2p + -1p Combine like terms: -2p + -1p = -3p -3 + 5p = 1 + -3p Solving -3 + 5p = 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. -3 + 5p + 3p = 1 + -3p + 3p Combine like terms: 5p + 3p = 8p -3 + 8p = 1 + -3p + 3p Combine like terms: -3p + 3p = 0 -3 + 8p = 1 + 0 -3 + 8p = 1 Add '3' to each side of the equation. -3 + 3 + 8p = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 8p = 1 + 3 8p = 1 + 3 Combine like terms: 1 + 3 = 4 8p = 4 Divide each side by '8'. p = 0.5 Simplifying p = 0.5
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