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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 = 2p -3 + 2p = -2 + 4p + -4p Combine like terms: 4p + -4p = 0 -3 + 2p = -2 + 0 -3 + 2p = -2 Add '3' to each side of the equation. -3 + 3 + 2p = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = -2 + 3 2p = -2 + 3 Combine like terms: -2 + 3 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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