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Simplifying -3(4p + 4) + -2(5 + -11p) + -3(6 + 3p) = 0 Reorder the terms: -3(4 + 4p) + -2(5 + -11p) + -3(6 + 3p) = 0 (4 * -3 + 4p * -3) + -2(5 + -11p) + -3(6 + 3p) = 0 (-12 + -12p) + -2(5 + -11p) + -3(6 + 3p) = 0 -12 + -12p + (5 * -2 + -11p * -2) + -3(6 + 3p) = 0 -12 + -12p + (-10 + 22p) + -3(6 + 3p) = 0 -12 + -12p + -10 + 22p + (6 * -3 + 3p * -3) = 0 -12 + -12p + -10 + 22p + (-18 + -9p) = 0 Reorder the terms: -12 + -10 + -18 + -12p + 22p + -9p = 0 Combine like terms: -12 + -10 = -22 -22 + -18 + -12p + 22p + -9p = 0 Combine like terms: -22 + -18 = -40 -40 + -12p + 22p + -9p = 0 Combine like terms: -12p + 22p = 10p -40 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -40 + 1p = 0 Solving -40 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 1p = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 1p = 0 + 40 1p = 0 + 40 Combine like terms: 0 + 40 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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