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Simplifying -2 + 2(8 + -8p) = -38 + -3p -2 + (8 * 2 + -8p * 2) = -38 + -3p -2 + (16 + -16p) = -38 + -3p Combine like terms: -2 + 16 = 14 14 + -16p = -38 + -3p Solving 14 + -16p = -38 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 14 + -16p + 3p = -38 + -3p + 3p Combine like terms: -16p + 3p = -13p 14 + -13p = -38 + -3p + 3p Combine like terms: -3p + 3p = 0 14 + -13p = -38 + 0 14 + -13p = -38 Add '-14' to each side of the equation. 14 + -14 + -13p = -38 + -14 Combine like terms: 14 + -14 = 0 0 + -13p = -38 + -14 -13p = -38 + -14 Combine like terms: -38 + -14 = -52 -13p = -52 Divide each side by '-13'. p = 4 Simplifying p = 4
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