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Simplifying 3(p + 6) = 9(2 + -5p) Reorder the terms: 3(6 + p) = 9(2 + -5p) (6 * 3 + p * 3) = 9(2 + -5p) (18 + 3p) = 9(2 + -5p) 18 + 3p = (2 * 9 + -5p * 9) 18 + 3p = (18 + -45p) Add '-18' to each side of the equation. 18 + -18 + 3p = 18 + -18 + -45p Combine like terms: 18 + -18 = 0 0 + 3p = 18 + -18 + -45p 3p = 18 + -18 + -45p Combine like terms: 18 + -18 = 0 3p = 0 + -45p 3p = -45p Solving 3p = -45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '45p' to each side of the equation. 3p + 45p = -45p + 45p Combine like terms: 3p + 45p = 48p 48p = -45p + 45p Combine like terms: -45p + 45p = 0 48p = 0 Divide each side by '48'. p = 0 Simplifying p = 0
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