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Simplifying -3(5p + 2) + -2(6 + -17p) = 3(5 + 6p) Reorder the terms: -3(2 + 5p) + -2(6 + -17p) = 3(5 + 6p) (2 * -3 + 5p * -3) + -2(6 + -17p) = 3(5 + 6p) (-6 + -15p) + -2(6 + -17p) = 3(5 + 6p) -6 + -15p + (6 * -2 + -17p * -2) = 3(5 + 6p) -6 + -15p + (-12 + 34p) = 3(5 + 6p) Reorder the terms: -6 + -12 + -15p + 34p = 3(5 + 6p) Combine like terms: -6 + -12 = -18 -18 + -15p + 34p = 3(5 + 6p) Combine like terms: -15p + 34p = 19p -18 + 19p = 3(5 + 6p) -18 + 19p = (5 * 3 + 6p * 3) -18 + 19p = (15 + 18p) Solving -18 + 19p = 15 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -18 + 19p + -18p = 15 + 18p + -18p Combine like terms: 19p + -18p = 1p -18 + 1p = 15 + 18p + -18p Combine like terms: 18p + -18p = 0 -18 + 1p = 15 + 0 -18 + 1p = 15 Add '18' to each side of the equation. -18 + 18 + 1p = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 15 + 18 1p = 15 + 18 Combine like terms: 15 + 18 = 33 1p = 33 Divide each side by '1'. p = 33 Simplifying p = 33
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