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Simplifying -3(6p + 2) + -2(5 + -14p) + -3(9 + 3p) = 0 Reorder the terms: -3(2 + 6p) + -2(5 + -14p) + -3(9 + 3p) = 0 (2 * -3 + 6p * -3) + -2(5 + -14p) + -3(9 + 3p) = 0 (-6 + -18p) + -2(5 + -14p) + -3(9 + 3p) = 0 -6 + -18p + (5 * -2 + -14p * -2) + -3(9 + 3p) = 0 -6 + -18p + (-10 + 28p) + -3(9 + 3p) = 0 -6 + -18p + -10 + 28p + (9 * -3 + 3p * -3) = 0 -6 + -18p + -10 + 28p + (-27 + -9p) = 0 Reorder the terms: -6 + -10 + -27 + -18p + 28p + -9p = 0 Combine like terms: -6 + -10 = -16 -16 + -27 + -18p + 28p + -9p = 0 Combine like terms: -16 + -27 = -43 -43 + -18p + 28p + -9p = 0 Combine like terms: -18p + 28p = 10p -43 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -43 + 1p = 0 Solving -43 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 1p = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1p = 0 + 43 1p = 0 + 43 Combine like terms: 0 + 43 = 43 1p = 43 Divide each side by '1'. p = 43 Simplifying p = 43
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