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Simplifying -1(p + -3) = 38 + -8p Reorder the terms: -1(-3 + p) = 38 + -8p (-3 * -1 + p * -1) = 38 + -8p (3 + -1p) = 38 + -8p Solving 3 + -1p = 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. 3 + -1p + 8p = 38 + -8p + 8p Combine like terms: -1p + 8p = 7p 3 + 7p = 38 + -8p + 8p Combine like terms: -8p + 8p = 0 3 + 7p = 38 + 0 3 + 7p = 38 Add '-3' to each side of the equation. 3 + -3 + 7p = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 7p = 38 + -3 7p = 38 + -3 Combine like terms: 38 + -3 = 35 7p = 35 Divide each side by '7'. p = 5 Simplifying p = 5
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