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Simplifying -3(3p + 2) + -2(3 + -11p) + -3(1 + 4p) = 0 Reorder the terms: -3(2 + 3p) + -2(3 + -11p) + -3(1 + 4p) = 0 (2 * -3 + 3p * -3) + -2(3 + -11p) + -3(1 + 4p) = 0 (-6 + -9p) + -2(3 + -11p) + -3(1 + 4p) = 0 -6 + -9p + (3 * -2 + -11p * -2) + -3(1 + 4p) = 0 -6 + -9p + (-6 + 22p) + -3(1 + 4p) = 0 -6 + -9p + -6 + 22p + (1 * -3 + 4p * -3) = 0 -6 + -9p + -6 + 22p + (-3 + -12p) = 0 Reorder the terms: -6 + -6 + -3 + -9p + 22p + -12p = 0 Combine like terms: -6 + -6 = -12 -12 + -3 + -9p + 22p + -12p = 0 Combine like terms: -12 + -3 = -15 -15 + -9p + 22p + -12p = 0 Combine like terms: -9p + 22p = 13p -15 + 13p + -12p = 0 Combine like terms: 13p + -12p = 1p -15 + 1p = 0 Solving -15 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 0 + 15 1p = 0 + 15 Combine like terms: 0 + 15 = 15 1p = 15 Divide each side by '1'. p = 15 Simplifying p = 15
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