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Simplifying 7(p + -1) = 2 + -2p Reorder the terms: 7(-1 + p) = 2 + -2p (-1 * 7 + p * 7) = 2 + -2p (-7 + 7p) = 2 + -2p Solving -7 + 7p = 2 + -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. -7 + 7p + 2p = 2 + -2p + 2p Combine like terms: 7p + 2p = 9p -7 + 9p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -7 + 9p = 2 + 0 -7 + 9p = 2 Add '7' to each side of the equation. -7 + 7 + 9p = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 9p = 2 + 7 9p = 2 + 7 Combine like terms: 2 + 7 = 9 9p = 9 Divide each side by '9'. p = 1 Simplifying p = 1
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