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Simplifying -5(1 + 7p) = 8p + 38 (1 * -5 + 7p * -5) = 8p + 38 (-5 + -35p) = 8p + 38 Reorder the terms: -5 + -35p = 38 + 8p Solving -5 + -35p = 38 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -5 + -35p + -8p = 38 + 8p + -8p Combine like terms: -35p + -8p = -43p -5 + -43p = 38 + 8p + -8p Combine like terms: 8p + -8p = 0 -5 + -43p = 38 + 0 -5 + -43p = 38 Add '5' to each side of the equation. -5 + 5 + -43p = 38 + 5 Combine like terms: -5 + 5 = 0 0 + -43p = 38 + 5 -43p = 38 + 5 Combine like terms: 38 + 5 = 43 -43p = 43 Divide each side by '-43'. p = -1 Simplifying p = -1
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