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Simplifying -3(4p + 3) + -2(2 + -14p) + -3(4 + 5p) = 0 Reorder the terms: -3(3 + 4p) + -2(2 + -14p) + -3(4 + 5p) = 0 (3 * -3 + 4p * -3) + -2(2 + -14p) + -3(4 + 5p) = 0 (-9 + -12p) + -2(2 + -14p) + -3(4 + 5p) = 0 -9 + -12p + (2 * -2 + -14p * -2) + -3(4 + 5p) = 0 -9 + -12p + (-4 + 28p) + -3(4 + 5p) = 0 -9 + -12p + -4 + 28p + (4 * -3 + 5p * -3) = 0 -9 + -12p + -4 + 28p + (-12 + -15p) = 0 Reorder the terms: -9 + -4 + -12 + -12p + 28p + -15p = 0 Combine like terms: -9 + -4 = -13 -13 + -12 + -12p + 28p + -15p = 0 Combine like terms: -13 + -12 = -25 -25 + -12p + 28p + -15p = 0 Combine like terms: -12p + 28p = 16p -25 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -25 + 1p = 0 Solving -25 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1p = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1p = 0 + 25 1p = 0 + 25 Combine like terms: 0 + 25 = 25 1p = 25 Divide each side by '1'. p = 25 Simplifying p = 25
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