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Simplifying -11(10 + 11p) = -10(2 + 8p) + 4p (10 * -11 + 11p * -11) = -10(2 + 8p) + 4p (-110 + -121p) = -10(2 + 8p) + 4p -110 + -121p = (2 * -10 + 8p * -10) + 4p -110 + -121p = (-20 + -80p) + 4p Combine like terms: -80p + 4p = -76p -110 + -121p = -20 + -76p Solving -110 + -121p = -20 + -76p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '76p' to each side of the equation. -110 + -121p + 76p = -20 + -76p + 76p Combine like terms: -121p + 76p = -45p -110 + -45p = -20 + -76p + 76p Combine like terms: -76p + 76p = 0 -110 + -45p = -20 + 0 -110 + -45p = -20 Add '110' to each side of the equation. -110 + 110 + -45p = -20 + 110 Combine like terms: -110 + 110 = 0 0 + -45p = -20 + 110 -45p = -20 + 110 Combine like terms: -20 + 110 = 90 -45p = 90 Divide each side by '-45'. p = -2 Simplifying p = -2
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