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Simplifying -1p + -9 = 8 + 7p + -1 Reorder the terms: -9 + -1p = 8 + 7p + -1 Reorder the terms: -9 + -1p = 8 + -1 + 7p Combine like terms: 8 + -1 = 7 -9 + -1p = 7 + 7p Solving -9 + -1p = 7 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -9 + -1p + -7p = 7 + 7p + -7p Combine like terms: -1p + -7p = -8p -9 + -8p = 7 + 7p + -7p Combine like terms: 7p + -7p = 0 -9 + -8p = 7 + 0 -9 + -8p = 7 Add '9' to each side of the equation. -9 + 9 + -8p = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8p = 7 + 9 -8p = 7 + 9 Combine like terms: 7 + 9 = 16 -8p = 16 Divide each side by '-8'. p = -2 Simplifying p = -2
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