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Simplifying -3(5p + 4) + -2(2 + -17p) = 3(3 + 6p) Reorder the terms: -3(4 + 5p) + -2(2 + -17p) = 3(3 + 6p) (4 * -3 + 5p * -3) + -2(2 + -17p) = 3(3 + 6p) (-12 + -15p) + -2(2 + -17p) = 3(3 + 6p) -12 + -15p + (2 * -2 + -17p * -2) = 3(3 + 6p) -12 + -15p + (-4 + 34p) = 3(3 + 6p) Reorder the terms: -12 + -4 + -15p + 34p = 3(3 + 6p) Combine like terms: -12 + -4 = -16 -16 + -15p + 34p = 3(3 + 6p) Combine like terms: -15p + 34p = 19p -16 + 19p = 3(3 + 6p) -16 + 19p = (3 * 3 + 6p * 3) -16 + 19p = (9 + 18p) Solving -16 + 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. -16 + 19p + -18p = 9 + 18p + -18p Combine like terms: 19p + -18p = 1p -16 + 1p = 9 + 18p + -18p Combine like terms: 18p + -18p = 0 -16 + 1p = 9 + 0 -16 + 1p = 9 Add '16' to each side of the equation. -16 + 16 + 1p = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 9 + 16 1p = 9 + 16 Combine like terms: 9 + 16 = 25 1p = 25 Divide each side by '1'. p = 25 Simplifying p = 25
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