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Simplifying 1 + -3(p + 1) = p + -1(2p + -1) Reorder the terms: 1 + -3(1 + p) = p + -1(2p + -1) 1 + (1 * -3 + p * -3) = p + -1(2p + -1) 1 + (-3 + -3p) = p + -1(2p + -1) Combine like terms: 1 + -3 = -2 -2 + -3p = p + -1(2p + -1) Reorder the terms: -2 + -3p = p + -1(-1 + 2p) -2 + -3p = p + (-1 * -1 + 2p * -1) -2 + -3p = p + (1 + -2p) Reorder the terms: -2 + -3p = 1 + p + -2p Combine like terms: p + -2p = -1p -2 + -3p = 1 + -1p Solving -2 + -3p = 1 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -2 + -3p + p = 1 + -1p + p Combine like terms: -3p + p = -2p -2 + -2p = 1 + -1p + p Combine like terms: -1p + p = 0 -2 + -2p = 1 + 0 -2 + -2p = 1 Add '2' to each side of the equation. -2 + 2 + -2p = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = 1 + 2 -2p = 1 + 2 Combine like terms: 1 + 2 = 3 -2p = 3 Divide each side by '-2'. p = -1.5 Simplifying p = -1.5
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