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Simplifying -3(5p + 6) + -2(4 + -17p) + -3(6 + 6p) = 0 Reorder the terms: -3(6 + 5p) + -2(4 + -17p) + -3(6 + 6p) = 0 (6 * -3 + 5p * -3) + -2(4 + -17p) + -3(6 + 6p) = 0 (-18 + -15p) + -2(4 + -17p) + -3(6 + 6p) = 0 -18 + -15p + (4 * -2 + -17p * -2) + -3(6 + 6p) = 0 -18 + -15p + (-8 + 34p) + -3(6 + 6p) = 0 -18 + -15p + -8 + 34p + (6 * -3 + 6p * -3) = 0 -18 + -15p + -8 + 34p + (-18 + -18p) = 0 Reorder the terms: -18 + -8 + -18 + -15p + 34p + -18p = 0 Combine like terms: -18 + -8 = -26 -26 + -18 + -15p + 34p + -18p = 0 Combine like terms: -26 + -18 = -44 -44 + -15p + 34p + -18p = 0 Combine like terms: -15p + 34p = 19p -44 + 19p + -18p = 0 Combine like terms: 19p + -18p = 1p -44 + 1p = 0 Solving -44 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 1p = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1p = 0 + 44 1p = 0 + 44 Combine like terms: 0 + 44 = 44 1p = 44 Divide each side by '1'. p = 44 Simplifying p = 44
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