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Simplifying -3(5p + 4) + -2(3 + -17) = 3(8 + 6p) Reorder the terms: -3(4 + 5p) + -2(3 + -17) = 3(8 + 6p) (4 * -3 + 5p * -3) + -2(3 + -17) = 3(8 + 6p) (-12 + -15p) + -2(3 + -17) = 3(8 + 6p) Combine like terms: 3 + -17 = -14 -12 + -15p + -2(-14) = 3(8 + 6p) Multiply -2 * -14 -12 + -15p + 28 = 3(8 + 6p) Reorder the terms: -12 + 28 + -15p = 3(8 + 6p) Combine like terms: -12 + 28 = 16 16 + -15p = 3(8 + 6p) 16 + -15p = (8 * 3 + 6p * 3) 16 + -15p = (24 + 18p) Solving 16 + -15p = 24 + 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 + -15p + -18p = 24 + 18p + -18p Combine like terms: -15p + -18p = -33p 16 + -33p = 24 + 18p + -18p Combine like terms: 18p + -18p = 0 16 + -33p = 24 + 0 16 + -33p = 24 Add '-16' to each side of the equation. 16 + -16 + -33p = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -33p = 24 + -16 -33p = 24 + -16 Combine like terms: 24 + -16 = 8 -33p = 8 Divide each side by '-33'. p = -0.2424242424 Simplifying p = -0.2424242424
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