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Simplifying -3(6p + 3) + -2(6 + -17p) + -3(4 + 5p) = 0 Reorder the terms: -3(3 + 6p) + -2(6 + -17p) + -3(4 + 5p) = 0 (3 * -3 + 6p * -3) + -2(6 + -17p) + -3(4 + 5p) = 0 (-9 + -18p) + -2(6 + -17p) + -3(4 + 5p) = 0 -9 + -18p + (6 * -2 + -17p * -2) + -3(4 + 5p) = 0 -9 + -18p + (-12 + 34p) + -3(4 + 5p) = 0 -9 + -18p + -12 + 34p + (4 * -3 + 5p * -3) = 0 -9 + -18p + -12 + 34p + (-12 + -15p) = 0 Reorder the terms: -9 + -12 + -12 + -18p + 34p + -15p = 0 Combine like terms: -9 + -12 = -21 -21 + -12 + -18p + 34p + -15p = 0 Combine like terms: -21 + -12 = -33 -33 + -18p + 34p + -15p = 0 Combine like terms: -18p + 34p = 16p -33 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -33 + 1p = 0 Solving -33 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1p = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1p = 0 + 33 1p = 0 + 33 Combine like terms: 0 + 33 = 33 1p = 33 Divide each side by '1'. p = 33 Simplifying p = 33
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