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Simplifying -3(5p + 3) + -2(6 + -14p) + -3(2 + 4p) = 0 Reorder the terms: -3(3 + 5p) + -2(6 + -14p) + -3(2 + 4p) = 0 (3 * -3 + 5p * -3) + -2(6 + -14p) + -3(2 + 4p) = 0 (-9 + -15p) + -2(6 + -14p) + -3(2 + 4p) = 0 -9 + -15p + (6 * -2 + -14p * -2) + -3(2 + 4p) = 0 -9 + -15p + (-12 + 28p) + -3(2 + 4p) = 0 -9 + -15p + -12 + 28p + (2 * -3 + 4p * -3) = 0 -9 + -15p + -12 + 28p + (-6 + -12p) = 0 Reorder the terms: -9 + -12 + -6 + -15p + 28p + -12p = 0 Combine like terms: -9 + -12 = -21 -21 + -6 + -15p + 28p + -12p = 0 Combine like terms: -21 + -6 = -27 -27 + -15p + 28p + -12p = 0 Combine like terms: -15p + 28p = 13p -27 + 13p + -12p = 0 Combine like terms: 13p + -12p = 1p -27 + 1p = 0 Solving -27 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1p = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1p = 0 + 27 1p = 0 + 27 Combine like terms: 0 + 27 = 27 1p = 27 Divide each side by '1'. p = 27 Simplifying p = 27
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