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Simplifying 4(11p + -6) = -56 + 12p Reorder the terms: 4(-6 + 11p) = -56 + 12p (-6 * 4 + 11p * 4) = -56 + 12p (-24 + 44p) = -56 + 12p Solving -24 + 44p = -56 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -24 + 44p + -12p = -56 + 12p + -12p Combine like terms: 44p + -12p = 32p -24 + 32p = -56 + 12p + -12p Combine like terms: 12p + -12p = 0 -24 + 32p = -56 + 0 -24 + 32p = -56 Add '24' to each side of the equation. -24 + 24 + 32p = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 32p = -56 + 24 32p = -56 + 24 Combine like terms: -56 + 24 = -32 32p = -32 Divide each side by '32'. p = -1 Simplifying p = -1
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