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Simplifying -3(6p + 2) + -2(5 + -17p) + -3(6 + 5p) = 0 Reorder the terms: -3(2 + 6p) + -2(5 + -17p) + -3(6 + 5p) = 0 (2 * -3 + 6p * -3) + -2(5 + -17p) + -3(6 + 5p) = 0 (-6 + -18p) + -2(5 + -17p) + -3(6 + 5p) = 0 -6 + -18p + (5 * -2 + -17p * -2) + -3(6 + 5p) = 0 -6 + -18p + (-10 + 34p) + -3(6 + 5p) = 0 -6 + -18p + -10 + 34p + (6 * -3 + 5p * -3) = 0 -6 + -18p + -10 + 34p + (-18 + -15p) = 0 Reorder the terms: -6 + -10 + -18 + -18p + 34p + -15p = 0 Combine like terms: -6 + -10 = -16 -16 + -18 + -18p + 34p + -15p = 0 Combine like terms: -16 + -18 = -34 -34 + -18p + 34p + -15p = 0 Combine like terms: -18p + 34p = 16p -34 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -34 + 1p = 0 Solving -34 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 1p = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1p = 0 + 34 1p = 0 + 34 Combine like terms: 0 + 34 = 34 1p = 34 Divide each side by '1'. p = 34 Simplifying p = 34
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