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Simplifying -2(-4p + 12) = 4(3 + 11p) Reorder the terms: -2(12 + -4p) = 4(3 + 11p) (12 * -2 + -4p * -2) = 4(3 + 11p) (-24 + 8p) = 4(3 + 11p) -24 + 8p = (3 * 4 + 11p * 4) -24 + 8p = (12 + 44p) Solving -24 + 8p = 12 + 44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44p' to each side of the equation. -24 + 8p + -44p = 12 + 44p + -44p Combine like terms: 8p + -44p = -36p -24 + -36p = 12 + 44p + -44p Combine like terms: 44p + -44p = 0 -24 + -36p = 12 + 0 -24 + -36p = 12 Add '24' to each side of the equation. -24 + 24 + -36p = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -36p = 12 + 24 -36p = 12 + 24 Combine like terms: 12 + 24 = 36 -36p = 36 Divide each side by '-36'. p = -1 Simplifying p = -1
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