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Simplifying -8(p + -2) = 31 + 7p Reorder the terms: -8(-2 + p) = 31 + 7p (-2 * -8 + p * -8) = 31 + 7p (16 + -8p) = 31 + 7p Solving 16 + -8p = 31 + 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. 16 + -8p + -7p = 31 + 7p + -7p Combine like terms: -8p + -7p = -15p 16 + -15p = 31 + 7p + -7p Combine like terms: 7p + -7p = 0 16 + -15p = 31 + 0 16 + -15p = 31 Add '-16' to each side of the equation. 16 + -16 + -15p = 31 + -16 Combine like terms: 16 + -16 = 0 0 + -15p = 31 + -16 -15p = 31 + -16 Combine like terms: 31 + -16 = 15 -15p = 15 Divide each side by '-15'. p = -1 Simplifying p = -1
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