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Simplifying 9p + -3(6 + -5p) = -2(3p + 9) 9p + (6 * -3 + -5p * -3) = -2(3p + 9) 9p + (-18 + 15p) = -2(3p + 9) Reorder the terms: -18 + 9p + 15p = -2(3p + 9) Combine like terms: 9p + 15p = 24p -18 + 24p = -2(3p + 9) Reorder the terms: -18 + 24p = -2(9 + 3p) -18 + 24p = (9 * -2 + 3p * -2) -18 + 24p = (-18 + -6p) Add '18' to each side of the equation. -18 + 18 + 24p = -18 + 18 + -6p Combine like terms: -18 + 18 = 0 0 + 24p = -18 + 18 + -6p 24p = -18 + 18 + -6p Combine like terms: -18 + 18 = 0 24p = 0 + -6p 24p = -6p Solving 24p = -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 24p + 6p = -6p + 6p Combine like terms: 24p + 6p = 30p 30p = -6p + 6p Combine like terms: -6p + 6p = 0 30p = 0 Divide each side by '30'. p = 0.0 Simplifying p = 0.0
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