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Simplifying -11p + -4(6 + -5p) = 4(p + -5) + -24 -11p + (6 * -4 + -5p * -4) = 4(p + -5) + -24 -11p + (-24 + 20p) = 4(p + -5) + -24 Reorder the terms: -24 + -11p + 20p = 4(p + -5) + -24 Combine like terms: -11p + 20p = 9p -24 + 9p = 4(p + -5) + -24 Reorder the terms: -24 + 9p = 4(-5 + p) + -24 -24 + 9p = (-5 * 4 + p * 4) + -24 -24 + 9p = (-20 + 4p) + -24 Reorder the terms: -24 + 9p = -20 + -24 + 4p Combine like terms: -20 + -24 = -44 -24 + 9p = -44 + 4p Solving -24 + 9p = -44 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -24 + 9p + -4p = -44 + 4p + -4p Combine like terms: 9p + -4p = 5p -24 + 5p = -44 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 5p = -44 + 0 -24 + 5p = -44 Add '24' to each side of the equation. -24 + 24 + 5p = -44 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = -44 + 24 5p = -44 + 24 Combine like terms: -44 + 24 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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