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Simplifying -3(6p + 5) + -2(5 + -17p) = 3(5 + 5p) Reorder the terms: -3(5 + 6p) + -2(5 + -17p) = 3(5 + 5p) (5 * -3 + 6p * -3) + -2(5 + -17p) = 3(5 + 5p) (-15 + -18p) + -2(5 + -17p) = 3(5 + 5p) -15 + -18p + (5 * -2 + -17p * -2) = 3(5 + 5p) -15 + -18p + (-10 + 34p) = 3(5 + 5p) Reorder the terms: -15 + -10 + -18p + 34p = 3(5 + 5p) Combine like terms: -15 + -10 = -25 -25 + -18p + 34p = 3(5 + 5p) Combine like terms: -18p + 34p = 16p -25 + 16p = 3(5 + 5p) -25 + 16p = (5 * 3 + 5p * 3) -25 + 16p = (15 + 15p) Solving -25 + 16p = 15 + 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. -25 + 16p + -15p = 15 + 15p + -15p Combine like terms: 16p + -15p = 1p -25 + 1p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -25 + 1p = 15 + 0 -25 + 1p = 15 Add '25' to each side of the equation. -25 + 25 + 1p = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 1p = 15 + 25 1p = 15 + 25 Combine like terms: 15 + 25 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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