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Simplifying 3(-4p + 4) = 4(-11 + 11p) Reorder the terms: 3(4 + -4p) = 4(-11 + 11p) (4 * 3 + -4p * 3) = 4(-11 + 11p) (12 + -12p) = 4(-11 + 11p) 12 + -12p = (-11 * 4 + 11p * 4) 12 + -12p = (-44 + 44p) Solving 12 + -12p = -44 + 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. 12 + -12p + -44p = -44 + 44p + -44p Combine like terms: -12p + -44p = -56p 12 + -56p = -44 + 44p + -44p Combine like terms: 44p + -44p = 0 12 + -56p = -44 + 0 12 + -56p = -44 Add '-12' to each side of the equation. 12 + -12 + -56p = -44 + -12 Combine like terms: 12 + -12 = 0 0 + -56p = -44 + -12 -56p = -44 + -12 Combine like terms: -44 + -12 = -56 -56p = -56 Divide each side by '-56'. p = 1 Simplifying p = 1
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