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Simplifying 7(p + -1) = 9 + -1p Reorder the terms: 7(-1 + p) = 9 + -1p (-1 * 7 + p * 7) = 9 + -1p (-7 + 7p) = 9 + -1p Solving -7 + 7p = 9 + -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. -7 + 7p + p = 9 + -1p + p Combine like terms: 7p + p = 8p -7 + 8p = 9 + -1p + p Combine like terms: -1p + p = 0 -7 + 8p = 9 + 0 -7 + 8p = 9 Add '7' to each side of the equation. -7 + 7 + 8p = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8p = 9 + 7 8p = 9 + 7 Combine like terms: 9 + 7 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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