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Simplifying -3(5p + 3) + -2(1 + -17p) = 3(6 + 6p) Reorder the terms: -3(3 + 5p) + -2(1 + -17p) = 3(6 + 6p) (3 * -3 + 5p * -3) + -2(1 + -17p) = 3(6 + 6p) (-9 + -15p) + -2(1 + -17p) = 3(6 + 6p) -9 + -15p + (1 * -2 + -17p * -2) = 3(6 + 6p) -9 + -15p + (-2 + 34p) = 3(6 + 6p) Reorder the terms: -9 + -2 + -15p + 34p = 3(6 + 6p) Combine like terms: -9 + -2 = -11 -11 + -15p + 34p = 3(6 + 6p) Combine like terms: -15p + 34p = 19p -11 + 19p = 3(6 + 6p) -11 + 19p = (6 * 3 + 6p * 3) -11 + 19p = (18 + 18p) Solving -11 + 19p = 18 + 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. -11 + 19p + -18p = 18 + 18p + -18p Combine like terms: 19p + -18p = 1p -11 + 1p = 18 + 18p + -18p Combine like terms: 18p + -18p = 0 -11 + 1p = 18 + 0 -11 + 1p = 18 Add '11' to each side of the equation. -11 + 11 + 1p = 18 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 18 + 11 1p = 18 + 11 Combine like terms: 18 + 11 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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