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Simplifying -3(5p + 3) + -2(6 + -17) = 3(9 + 6p) Reorder the terms: -3(3 + 5p) + -2(6 + -17) = 3(9 + 6p) (3 * -3 + 5p * -3) + -2(6 + -17) = 3(9 + 6p) (-9 + -15p) + -2(6 + -17) = 3(9 + 6p) Combine like terms: 6 + -17 = -11 -9 + -15p + -2(-11) = 3(9 + 6p) Multiply -2 * -11 -9 + -15p + 22 = 3(9 + 6p) Reorder the terms: -9 + 22 + -15p = 3(9 + 6p) Combine like terms: -9 + 22 = 13 13 + -15p = 3(9 + 6p) 13 + -15p = (9 * 3 + 6p * 3) 13 + -15p = (27 + 18p) Solving 13 + -15p = 27 + 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. 13 + -15p + -18p = 27 + 18p + -18p Combine like terms: -15p + -18p = -33p 13 + -33p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 13 + -33p = 27 + 0 13 + -33p = 27 Add '-13' to each side of the equation. 13 + -13 + -33p = 27 + -13 Combine like terms: 13 + -13 = 0 0 + -33p = 27 + -13 -33p = 27 + -13 Combine like terms: 27 + -13 = 14 -33p = 14 Divide each side by '-33'. p = -0.4242424242 Simplifying p = -0.4242424242
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