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