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Simplifying 275 = -5(1 + -11p) + p 275 = (1 * -5 + -11p * -5) + p 275 = (-5 + 55p) + p Combine like terms: 55p + p = 56p 275 = -5 + 56p Solving 275 = -5 + 56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56p' to each side of the equation. 275 + -56p = -5 + 56p + -56p Combine like terms: 56p + -56p = 0 275 + -56p = -5 + 0 275 + -56p = -5 Add '-275' to each side of the equation. 275 + -275 + -56p = -5 + -275 Combine like terms: 275 + -275 = 0 0 + -56p = -5 + -275 -56p = -5 + -275 Combine like terms: -5 + -275 = -280 -56p = -280 Divide each side by '-56'. p = 5 Simplifying p = 5
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