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Simplifying p + -4(3p + 3) = -45 Reorder the terms: p + -4(3 + 3p) = -45 p + (3 * -4 + 3p * -4) = -45 p + (-12 + -12p) = -45 Reorder the terms: -12 + p + -12p = -45 Combine like terms: p + -12p = -11p -12 + -11p = -45 Solving -12 + -11p = -45 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11p = -45 + 12 Combine like terms: -12 + 12 = 0 0 + -11p = -45 + 12 -11p = -45 + 12 Combine like terms: -45 + 12 = -33 -11p = -33 Divide each side by '-11'. p = 3 Simplifying p = 3
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