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Simplifying 81 = 1 + -8(5 + -5p) 81 = 1 + (5 * -8 + -5p * -8) 81 = 1 + (-40 + 40p) Combine like terms: 1 + -40 = -39 81 = -39 + 40p Solving 81 = -39 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 81 + -40p = -39 + 40p + -40p Combine like terms: 40p + -40p = 0 81 + -40p = -39 + 0 81 + -40p = -39 Add '-81' to each side of the equation. 81 + -81 + -40p = -39 + -81 Combine like terms: 81 + -81 = 0 0 + -40p = -39 + -81 -40p = -39 + -81 Combine like terms: -39 + -81 = -120 -40p = -120 Divide each side by '-40'. p = 3 Simplifying p = 3
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