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Simplifying -3(4p + 2) + -2(3 + -11p) + -3(4 + 3p) = 0 Reorder the terms: -3(2 + 4p) + -2(3 + -11p) + -3(4 + 3p) = 0 (2 * -3 + 4p * -3) + -2(3 + -11p) + -3(4 + 3p) = 0 (-6 + -12p) + -2(3 + -11p) + -3(4 + 3p) = 0 -6 + -12p + (3 * -2 + -11p * -2) + -3(4 + 3p) = 0 -6 + -12p + (-6 + 22p) + -3(4 + 3p) = 0 -6 + -12p + -6 + 22p + (4 * -3 + 3p * -3) = 0 -6 + -12p + -6 + 22p + (-12 + -9p) = 0 Reorder the terms: -6 + -6 + -12 + -12p + 22p + -9p = 0 Combine like terms: -6 + -6 = -12 -12 + -12 + -12p + 22p + -9p = 0 Combine like terms: -12 + -12 = -24 -24 + -12p + 22p + -9p = 0 Combine like terms: -12p + 22p = 10p -24 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -24 + 1p = 0 Solving -24 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1p = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 0 + 24 1p = 0 + 24 Combine like terms: 0 + 24 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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