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Simplifying -3(6p + 3) + -2(4 + -14p) + -3(4 + 3p) = 0 Reorder the terms: -3(3 + 6p) + -2(4 + -14p) + -3(4 + 3p) = 0 (3 * -3 + 6p * -3) + -2(4 + -14p) + -3(4 + 3p) = 0 (-9 + -18p) + -2(4 + -14p) + -3(4 + 3p) = 0 -9 + -18p + (4 * -2 + -14p * -2) + -3(4 + 3p) = 0 -9 + -18p + (-8 + 28p) + -3(4 + 3p) = 0 -9 + -18p + -8 + 28p + (4 * -3 + 3p * -3) = 0 -9 + -18p + -8 + 28p + (-12 + -9p) = 0 Reorder the terms: -9 + -8 + -12 + -18p + 28p + -9p = 0 Combine like terms: -9 + -8 = -17 -17 + -12 + -18p + 28p + -9p = 0 Combine like terms: -17 + -12 = -29 -29 + -18p + 28p + -9p = 0 Combine like terms: -18p + 28p = 10p -29 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -29 + 1p = 0 Solving -29 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1p = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1p = 0 + 29 1p = 0 + 29 Combine like terms: 0 + 29 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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