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Simplifying -3(6p + 6) + -2(6 + -17p) + -3(2 + 5p) = 0 Reorder the terms: -3(6 + 6p) + -2(6 + -17p) + -3(2 + 5p) = 0 (6 * -3 + 6p * -3) + -2(6 + -17p) + -3(2 + 5p) = 0 (-18 + -18p) + -2(6 + -17p) + -3(2 + 5p) = 0 -18 + -18p + (6 * -2 + -17p * -2) + -3(2 + 5p) = 0 -18 + -18p + (-12 + 34p) + -3(2 + 5p) = 0 -18 + -18p + -12 + 34p + (2 * -3 + 5p * -3) = 0 -18 + -18p + -12 + 34p + (-6 + -15p) = 0 Reorder the terms: -18 + -12 + -6 + -18p + 34p + -15p = 0 Combine like terms: -18 + -12 = -30 -30 + -6 + -18p + 34p + -15p = 0 Combine like terms: -30 + -6 = -36 -36 + -18p + 34p + -15p = 0 Combine like terms: -18p + 34p = 16p -36 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -36 + 1p = 0 Solving -36 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 1p = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 1p = 0 + 36 1p = 0 + 36 Combine like terms: 0 + 36 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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