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Simplifying -3(6p + 2) + -2(4 + -17p) = 3(6 + 5p) Reorder the terms: -3(2 + 6p) + -2(4 + -17p) = 3(6 + 5p) (2 * -3 + 6p * -3) + -2(4 + -17p) = 3(6 + 5p) (-6 + -18p) + -2(4 + -17p) = 3(6 + 5p) -6 + -18p + (4 * -2 + -17p * -2) = 3(6 + 5p) -6 + -18p + (-8 + 34p) = 3(6 + 5p) Reorder the terms: -6 + -8 + -18p + 34p = 3(6 + 5p) Combine like terms: -6 + -8 = -14 -14 + -18p + 34p = 3(6 + 5p) Combine like terms: -18p + 34p = 16p -14 + 16p = 3(6 + 5p) -14 + 16p = (6 * 3 + 5p * 3) -14 + 16p = (18 + 15p) Solving -14 + 16p = 18 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -14 + 16p + -15p = 18 + 15p + -15p Combine like terms: 16p + -15p = 1p -14 + 1p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -14 + 1p = 18 + 0 -14 + 1p = 18 Add '14' to each side of the equation. -14 + 14 + 1p = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 18 + 14 1p = 18 + 14 Combine like terms: 18 + 14 = 32 1p = 32 Divide each side by '1'. p = 32 Simplifying p = 32
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