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Simplifying -3(3p + 2) + -2(5 + -14p) + -3(1 + 6p) = 0 Reorder the terms: -3(2 + 3p) + -2(5 + -14p) + -3(1 + 6p) = 0 (2 * -3 + 3p * -3) + -2(5 + -14p) + -3(1 + 6p) = 0 (-6 + -9p) + -2(5 + -14p) + -3(1 + 6p) = 0 -6 + -9p + (5 * -2 + -14p * -2) + -3(1 + 6p) = 0 -6 + -9p + (-10 + 28p) + -3(1 + 6p) = 0 -6 + -9p + -10 + 28p + (1 * -3 + 6p * -3) = 0 -6 + -9p + -10 + 28p + (-3 + -18p) = 0 Reorder the terms: -6 + -10 + -3 + -9p + 28p + -18p = 0 Combine like terms: -6 + -10 = -16 -16 + -3 + -9p + 28p + -18p = 0 Combine like terms: -16 + -3 = -19 -19 + -9p + 28p + -18p = 0 Combine like terms: -9p + 28p = 19p -19 + 19p + -18p = 0 Combine like terms: 19p + -18p = 1p -19 + 1p = 0 Solving -19 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 0 + 19 1p = 0 + 19 Combine like terms: 0 + 19 = 19 1p = 19 Divide each side by '1'. p = 19 Simplifying p = 19
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