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Simplifying -1(3 + -1p) + -1(2p + 5) = p (3 * -1 + -1p * -1) + -1(2p + 5) = p (-3 + 1p) + -1(2p + 5) = p Reorder the terms: -3 + 1p + -1(5 + 2p) = p -3 + 1p + (5 * -1 + 2p * -1) = p -3 + 1p + (-5 + -2p) = p Reorder the terms: -3 + -5 + 1p + -2p = p Combine like terms: -3 + -5 = -8 -8 + 1p + -2p = p Combine like terms: 1p + -2p = -1p -8 + -1p = p Solving -8 + -1p = p 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. -8 + -1p + -1p = p + -1p Combine like terms: -1p + -1p = -2p -8 + -2p = p + -1p Combine like terms: p + -1p = 0 -8 + -2p = 0 Add '8' to each side of the equation. -8 + 8 + -2p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2p = 0 + 8 -2p = 0 + 8 Combine like terms: 0 + 8 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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