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Simplifying -3(5p + 2) + -2(1 + -17p) + -3(2 + 6p) = 0 Reorder the terms: -3(2 + 5p) + -2(1 + -17p) + -3(2 + 6p) = 0 (2 * -3 + 5p * -3) + -2(1 + -17p) + -3(2 + 6p) = 0 (-6 + -15p) + -2(1 + -17p) + -3(2 + 6p) = 0 -6 + -15p + (1 * -2 + -17p * -2) + -3(2 + 6p) = 0 -6 + -15p + (-2 + 34p) + -3(2 + 6p) = 0 -6 + -15p + -2 + 34p + (2 * -3 + 6p * -3) = 0 -6 + -15p + -2 + 34p + (-6 + -18p) = 0 Reorder the terms: -6 + -2 + -6 + -15p + 34p + -18p = 0 Combine like terms: -6 + -2 = -8 -8 + -6 + -15p + 34p + -18p = 0 Combine like terms: -8 + -6 = -14 -14 + -15p + 34p + -18p = 0 Combine like terms: -15p + 34p = 19p -14 + 19p + -18p = 0 Combine like terms: 19p + -18p = 1p -14 + 1p = 0 Solving -14 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 0 + 14 1p = 0 + 14 Combine like terms: 0 + 14 = 14 1p = 14 Divide each side by '1'. p = 14 Simplifying p = 14
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