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Simplifying -31 = 8 + -6p + 7p Combine like terms: -6p + 7p = 1p -31 = 8 + 1p Solving -31 = 8 + 1p 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. -31 + -1p = 8 + 1p + -1p Combine like terms: 1p + -1p = 0 -31 + -1p = 8 + 0 -31 + -1p = 8 Add '31' to each side of the equation. -31 + 31 + -1p = 8 + 31 Combine like terms: -31 + 31 = 0 0 + -1p = 8 + 31 -1p = 8 + 31 Combine like terms: 8 + 31 = 39 -1p = 39 Divide each side by '-1'. p = -39 Simplifying p = -39
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