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Simplifying -3(6p + 5) + -2(4 + -17p) = 3(8 + 5p) Reorder the terms: -3(5 + 6p) + -2(4 + -17p) = 3(8 + 5p) (5 * -3 + 6p * -3) + -2(4 + -17p) = 3(8 + 5p) (-15 + -18p) + -2(4 + -17p) = 3(8 + 5p) -15 + -18p + (4 * -2 + -17p * -2) = 3(8 + 5p) -15 + -18p + (-8 + 34p) = 3(8 + 5p) Reorder the terms: -15 + -8 + -18p + 34p = 3(8 + 5p) Combine like terms: -15 + -8 = -23 -23 + -18p + 34p = 3(8 + 5p) Combine like terms: -18p + 34p = 16p -23 + 16p = 3(8 + 5p) -23 + 16p = (8 * 3 + 5p * 3) -23 + 16p = (24 + 15p) Solving -23 + 16p = 24 + 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. -23 + 16p + -15p = 24 + 15p + -15p Combine like terms: 16p + -15p = 1p -23 + 1p = 24 + 15p + -15p Combine like terms: 15p + -15p = 0 -23 + 1p = 24 + 0 -23 + 1p = 24 Add '23' to each side of the equation. -23 + 23 + 1p = 24 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 24 + 23 1p = 24 + 23 Combine like terms: 24 + 23 = 47 1p = 47 Divide each side by '1'. p = 47 Simplifying p = 47
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