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Simplifying 12(8p + 9) = -6(5p + 84) Reorder the terms: 12(9 + 8p) = -6(5p + 84) (9 * 12 + 8p * 12) = -6(5p + 84) (108 + 96p) = -6(5p + 84) Reorder the terms: 108 + 96p = -6(84 + 5p) 108 + 96p = (84 * -6 + 5p * -6) 108 + 96p = (-504 + -30p) Solving 108 + 96p = -504 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 108 + 96p + 30p = -504 + -30p + 30p Combine like terms: 96p + 30p = 126p 108 + 126p = -504 + -30p + 30p Combine like terms: -30p + 30p = 0 108 + 126p = -504 + 0 108 + 126p = -504 Add '-108' to each side of the equation. 108 + -108 + 126p = -504 + -108 Combine like terms: 108 + -108 = 0 0 + 126p = -504 + -108 126p = -504 + -108 Combine like terms: -504 + -108 = -612 126p = -612 Divide each side by '126'. p = -4.857142857 Simplifying p = -4.857142857
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