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Simplifying 9(12 + 4p) = 12(9 + -9p) (12 * 9 + 4p * 9) = 12(9 + -9p) (108 + 36p) = 12(9 + -9p) 108 + 36p = (9 * 12 + -9p * 12) 108 + 36p = (108 + -108p) Add '-108' to each side of the equation. 108 + -108 + 36p = 108 + -108 + -108p Combine like terms: 108 + -108 = 0 0 + 36p = 108 + -108 + -108p 36p = 108 + -108 + -108p Combine like terms: 108 + -108 = 0 36p = 0 + -108p 36p = -108p Solving 36p = -108p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '108p' to each side of the equation. 36p + 108p = -108p + 108p Combine like terms: 36p + 108p = 144p 144p = -108p + 108p Combine like terms: -108p + 108p = 0 144p = 0 Divide each side by '144'. p = 0 Simplifying p = 0
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