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Simplifying 3 + -1(5 + -2p) + -1(2 + 3p) = [-2] + -1(2p + -5) + -1(-4p + 3) 3 + (5 * -1 + -2p * -1) + -1(2 + 3p) = [-2] + -1(2p + -5) + -1(-4p + 3) 3 + (-5 + 2p) + -1(2 + 3p) = [-2] + -1(2p + -5) + -1(-4p + 3) 3 + -5 + 2p + (2 * -1 + 3p * -1) = [-2] + -1(2p + -5) + -1(-4p + 3) 3 + -5 + 2p + (-2 + -3p) = [-2] + -1(2p + -5) + -1(-4p + 3) Reorder the terms: 3 + -5 + -2 + 2p + -3p = [-2] + -1(2p + -5) + -1(-4p + 3) Combine like terms: 3 + -5 = -2 -2 + -2 + 2p + -3p = [-2] + -1(2p + -5) + -1(-4p + 3) Combine like terms: -2 + -2 = -4 -4 + 2p + -3p = [-2] + -1(2p + -5) + -1(-4p + 3) Combine like terms: 2p + -3p = -1p -4 + -1p = [-2] + -1(2p + -5) + -1(-4p + 3) -4 + -1p = -2 + -1(2p + -5) + -1(-4p + 3) Reorder the terms: -4 + -1p = -2 + -1(-5 + 2p) + -1(-4p + 3) -4 + -1p = -2 + (-5 * -1 + 2p * -1) + -1(-4p + 3) -4 + -1p = -2 + (5 + -2p) + -1(-4p + 3) Reorder the terms: -4 + -1p = -2 + 5 + -2p + -1(3 + -4p) -4 + -1p = -2 + 5 + -2p + (3 * -1 + -4p * -1) -4 + -1p = -2 + 5 + -2p + (-3 + 4p) Reorder the terms: -4 + -1p = -2 + 5 + -3 + -2p + 4p Combine like terms: -2 + 5 = 3 -4 + -1p = 3 + -3 + -2p + 4p Combine like terms: 3 + -3 = 0 -4 + -1p = 0 + -2p + 4p -4 + -1p = -2p + 4p Combine like terms: -2p + 4p = 2p -4 + -1p = 2p Solving -4 + -1p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -4 + -1p + -2p = 2p + -2p Combine like terms: -1p + -2p = -3p -4 + -3p = 2p + -2p Combine like terms: 2p + -2p = 0 -4 + -3p = 0 Add '4' to each side of the equation. -4 + 4 + -3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3p = 0 + 4 -3p = 0 + 4 Combine like terms: 0 + 4 = 4 -3p = 4 Divide each side by '-3'. p = -1.333333333 Simplifying p = -1.333333333
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