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Simplifying -3(5p + 6) + -2(1 + -17p) = 3(3 + 6p) Reorder the terms: -3(6 + 5p) + -2(1 + -17p) = 3(3 + 6p) (6 * -3 + 5p * -3) + -2(1 + -17p) = 3(3 + 6p) (-18 + -15p) + -2(1 + -17p) = 3(3 + 6p) -18 + -15p + (1 * -2 + -17p * -2) = 3(3 + 6p) -18 + -15p + (-2 + 34p) = 3(3 + 6p) Reorder the terms: -18 + -2 + -15p + 34p = 3(3 + 6p) Combine like terms: -18 + -2 = -20 -20 + -15p + 34p = 3(3 + 6p) Combine like terms: -15p + 34p = 19p -20 + 19p = 3(3 + 6p) -20 + 19p = (3 * 3 + 6p * 3) -20 + 19p = (9 + 18p) Solving -20 + 19p = 9 + 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. -20 + 19p + -18p = 9 + 18p + -18p Combine like terms: 19p + -18p = 1p -20 + 1p = 9 + 18p + -18p Combine like terms: 18p + -18p = 0 -20 + 1p = 9 + 0 -20 + 1p = 9 Add '20' to each side of the equation. -20 + 20 + 1p = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 9 + 20 1p = 9 + 20 Combine like terms: 9 + 20 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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