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Simplifying -11(8p + 4) = -11(p + 11) Reorder the terms: -11(4 + 8p) = -11(p + 11) (4 * -11 + 8p * -11) = -11(p + 11) (-44 + -88p) = -11(p + 11) Reorder the terms: -44 + -88p = -11(11 + p) -44 + -88p = (11 * -11 + p * -11) -44 + -88p = (-121 + -11p) Solving -44 + -88p = -121 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. -44 + -88p + 11p = -121 + -11p + 11p Combine like terms: -88p + 11p = -77p -44 + -77p = -121 + -11p + 11p Combine like terms: -11p + 11p = 0 -44 + -77p = -121 + 0 -44 + -77p = -121 Add '44' to each side of the equation. -44 + 44 + -77p = -121 + 44 Combine like terms: -44 + 44 = 0 0 + -77p = -121 + 44 -77p = -121 + 44 Combine like terms: -121 + 44 = -77 -77p = -77 Divide each side by '-77'. p = 1 Simplifying p = 1
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