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Simplifying -3(6p + 5) + -2(1 + -17p) = 3(4 + 5p) Reorder the terms: -3(5 + 6p) + -2(1 + -17p) = 3(4 + 5p) (5 * -3 + 6p * -3) + -2(1 + -17p) = 3(4 + 5p) (-15 + -18p) + -2(1 + -17p) = 3(4 + 5p) -15 + -18p + (1 * -2 + -17p * -2) = 3(4 + 5p) -15 + -18p + (-2 + 34p) = 3(4 + 5p) Reorder the terms: -15 + -2 + -18p + 34p = 3(4 + 5p) Combine like terms: -15 + -2 = -17 -17 + -18p + 34p = 3(4 + 5p) Combine like terms: -18p + 34p = 16p -17 + 16p = 3(4 + 5p) -17 + 16p = (4 * 3 + 5p * 3) -17 + 16p = (12 + 15p) Solving -17 + 16p = 12 + 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. -17 + 16p + -15p = 12 + 15p + -15p Combine like terms: 16p + -15p = 1p -17 + 1p = 12 + 15p + -15p Combine like terms: 15p + -15p = 0 -17 + 1p = 12 + 0 -17 + 1p = 12 Add '17' to each side of the equation. -17 + 17 + 1p = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 12 + 17 1p = 12 + 17 Combine like terms: 12 + 17 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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