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Simplifying -3(5p + 2) + -2(2 + -17p) = 3(8 + 6p) Reorder the terms: -3(2 + 5p) + -2(2 + -17p) = 3(8 + 6p) (2 * -3 + 5p * -3) + -2(2 + -17p) = 3(8 + 6p) (-6 + -15p) + -2(2 + -17p) = 3(8 + 6p) -6 + -15p + (2 * -2 + -17p * -2) = 3(8 + 6p) -6 + -15p + (-4 + 34p) = 3(8 + 6p) Reorder the terms: -6 + -4 + -15p + 34p = 3(8 + 6p) Combine like terms: -6 + -4 = -10 -10 + -15p + 34p = 3(8 + 6p) Combine like terms: -15p + 34p = 19p -10 + 19p = 3(8 + 6p) -10 + 19p = (8 * 3 + 6p * 3) -10 + 19p = (24 + 18p) Solving -10 + 19p = 24 + 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. -10 + 19p + -18p = 24 + 18p + -18p Combine like terms: 19p + -18p = 1p -10 + 1p = 24 + 18p + -18p Combine like terms: 18p + -18p = 0 -10 + 1p = 24 + 0 -10 + 1p = 24 Add '10' to each side of the equation. -10 + 10 + 1p = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 24 + 10 1p = 24 + 10 Combine like terms: 24 + 10 = 34 1p = 34 Divide each side by '1'. p = 34 Simplifying p = 34
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