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Simplifying -1(p + 1) = -2(5 + -1p) Reorder the terms: -1(1 + p) = -2(5 + -1p) (1 * -1 + p * -1) = -2(5 + -1p) (-1 + -1p) = -2(5 + -1p) -1 + -1p = (5 * -2 + -1p * -2) -1 + -1p = (-10 + 2p) Solving -1 + -1p = -10 + 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. -1 + -1p + -2p = -10 + 2p + -2p Combine like terms: -1p + -2p = -3p -1 + -3p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 -1 + -3p = -10 + 0 -1 + -3p = -10 Add '1' to each side of the equation. -1 + 1 + -3p = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -3p = -10 + 1 -3p = -10 + 1 Combine like terms: -10 + 1 = -9 -3p = -9 Divide each side by '-3'. p = 3 Simplifying p = 3
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