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Simplifying -1(p + 2) + 4 = 38 + 8p Reorder the terms: -1(2 + p) + 4 = 38 + 8p (2 * -1 + p * -1) + 4 = 38 + 8p (-2 + -1p) + 4 = 38 + 8p Reorder the terms: -2 + 4 + -1p = 38 + 8p Combine like terms: -2 + 4 = 2 2 + -1p = 38 + 8p Solving 2 + -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. 2 + -1p + -8p = 38 + 8p + -8p Combine like terms: -1p + -8p = -9p 2 + -9p = 38 + 8p + -8p Combine like terms: 8p + -8p = 0 2 + -9p = 38 + 0 2 + -9p = 38 Add '-2' to each side of the equation. 2 + -2 + -9p = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = 38 + -2 -9p = 38 + -2 Combine like terms: 38 + -2 = 36 -9p = 36 Divide each side by '-9'. p = -4 Simplifying p = -4
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