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Simplifying 3p + (-3)(1 + -1p) = -2p + 2(1 + -1p) 3p + (1 * -3 + -1p * -3) = -2p + 2(1 + -1p) 3p + (-3 + 3p) = -2p + 2(1 + -1p) Reorder the terms: -3 + 3p + 3p = -2p + 2(1 + -1p) Combine like terms: 3p + 3p = 6p -3 + 6p = -2p + 2(1 + -1p) -3 + 6p = -2p + (1 * 2 + -1p * 2) -3 + 6p = -2p + (2 + -2p) Reorder the terms: -3 + 6p = 2 + -2p + -2p Combine like terms: -2p + -2p = -4p -3 + 6p = 2 + -4p Solving -3 + 6p = 2 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -3 + 6p + 4p = 2 + -4p + 4p Combine like terms: 6p + 4p = 10p -3 + 10p = 2 + -4p + 4p Combine like terms: -4p + 4p = 0 -3 + 10p = 2 + 0 -3 + 10p = 2 Add '3' to each side of the equation. -3 + 3 + 10p = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 10p = 2 + 3 10p = 2 + 3 Combine like terms: 2 + 3 = 5 10p = 5 Divide each side by '10'. p = 0.5 Simplifying p = 0.5
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