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Simplifying -3(6p + 2) + -2(6 + -17p) = 3(2 + 5p) Reorder the terms: -3(2 + 6p) + -2(6 + -17p) = 3(2 + 5p) (2 * -3 + 6p * -3) + -2(6 + -17p) = 3(2 + 5p) (-6 + -18p) + -2(6 + -17p) = 3(2 + 5p) -6 + -18p + (6 * -2 + -17p * -2) = 3(2 + 5p) -6 + -18p + (-12 + 34p) = 3(2 + 5p) Reorder the terms: -6 + -12 + -18p + 34p = 3(2 + 5p) Combine like terms: -6 + -12 = -18 -18 + -18p + 34p = 3(2 + 5p) Combine like terms: -18p + 34p = 16p -18 + 16p = 3(2 + 5p) -18 + 16p = (2 * 3 + 5p * 3) -18 + 16p = (6 + 15p) Solving -18 + 16p = 6 + 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. -18 + 16p + -15p = 6 + 15p + -15p Combine like terms: 16p + -15p = 1p -18 + 1p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -18 + 1p = 6 + 0 -18 + 1p = 6 Add '18' to each side of the equation. -18 + 18 + 1p = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 6 + 18 1p = 6 + 18 Combine like terms: 6 + 18 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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