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Simplifying -9(-9 + p) = 9(8p + -9) (-9 * -9 + p * -9) = 9(8p + -9) (81 + -9p) = 9(8p + -9) Reorder the terms: 81 + -9p = 9(-9 + 8p) 81 + -9p = (-9 * 9 + 8p * 9) 81 + -9p = (-81 + 72p) Solving 81 + -9p = -81 + 72p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-72p' to each side of the equation. 81 + -9p + -72p = -81 + 72p + -72p Combine like terms: -9p + -72p = -81p 81 + -81p = -81 + 72p + -72p Combine like terms: 72p + -72p = 0 81 + -81p = -81 + 0 81 + -81p = -81 Add '-81' to each side of the equation. 81 + -81 + -81p = -81 + -81 Combine like terms: 81 + -81 = 0 0 + -81p = -81 + -81 -81p = -81 + -81 Combine like terms: -81 + -81 = -162 -81p = -162 Divide each side by '-81'. p = 2 Simplifying p = 2
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