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Simplifying 2p + -1(5p + 7) = -1(2p + 7) Reorder the terms: 2p + -1(7 + 5p) = -1(2p + 7) 2p + (7 * -1 + 5p * -1) = -1(2p + 7) 2p + (-7 + -5p) = -1(2p + 7) Reorder the terms: -7 + 2p + -5p = -1(2p + 7) Combine like terms: 2p + -5p = -3p -7 + -3p = -1(2p + 7) Reorder the terms: -7 + -3p = -1(7 + 2p) -7 + -3p = (7 * -1 + 2p * -1) -7 + -3p = (-7 + -2p) Add '7' to each side of the equation. -7 + 7 + -3p = -7 + 7 + -2p Combine like terms: -7 + 7 = 0 0 + -3p = -7 + 7 + -2p -3p = -7 + 7 + -2p Combine like terms: -7 + 7 = 0 -3p = 0 + -2p -3p = -2p Solving -3p = -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. -3p + 2p = -2p + 2p Combine like terms: -3p + 2p = -1p -1p = -2p + 2p Combine like terms: -2p + 2p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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