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Simplifying -31 + -8p = 5(1 + 7p) + 7 -31 + -8p = (1 * 5 + 7p * 5) + 7 -31 + -8p = (5 + 35p) + 7 Reorder the terms: -31 + -8p = 5 + 7 + 35p Combine like terms: 5 + 7 = 12 -31 + -8p = 12 + 35p Solving -31 + -8p = 12 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. -31 + -8p + -35p = 12 + 35p + -35p Combine like terms: -8p + -35p = -43p -31 + -43p = 12 + 35p + -35p Combine like terms: 35p + -35p = 0 -31 + -43p = 12 + 0 -31 + -43p = 12 Add '31' to each side of the equation. -31 + 31 + -43p = 12 + 31 Combine like terms: -31 + 31 = 0 0 + -43p = 12 + 31 -43p = 12 + 31 Combine like terms: 12 + 31 = 43 -43p = 43 Divide each side by '-43'. p = -1 Simplifying p = -1
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