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Simplifying -3(4p + 4) + -2(1 + -11p) + -3(3 + 3p) = 0 Reorder the terms: -3(4 + 4p) + -2(1 + -11p) + -3(3 + 3p) = 0 (4 * -3 + 4p * -3) + -2(1 + -11p) + -3(3 + 3p) = 0 (-12 + -12p) + -2(1 + -11p) + -3(3 + 3p) = 0 -12 + -12p + (1 * -2 + -11p * -2) + -3(3 + 3p) = 0 -12 + -12p + (-2 + 22p) + -3(3 + 3p) = 0 -12 + -12p + -2 + 22p + (3 * -3 + 3p * -3) = 0 -12 + -12p + -2 + 22p + (-9 + -9p) = 0 Reorder the terms: -12 + -2 + -9 + -12p + 22p + -9p = 0 Combine like terms: -12 + -2 = -14 -14 + -9 + -12p + 22p + -9p = 0 Combine like terms: -14 + -9 = -23 -23 + -12p + 22p + -9p = 0 Combine like terms: -12p + 22p = 10p -23 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -23 + 1p = 0 Solving -23 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1p = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 0 + 23 1p = 0 + 23 Combine like terms: 0 + 23 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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