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Simplifying 14.60 + 34.25 = 11.8p + 45.45 Combine like terms: 14.60 + 34.25 = 48.85 48.85 = 11.8p + 45.45 Reorder the terms: 48.85 = 45.45 + 11.8p Solving 48.85 = 45.45 + 11.8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11.8p' to each side of the equation. 48.85 + -11.8p = 45.45 + 11.8p + -11.8p Combine like terms: 11.8p + -11.8p = 0.0 48.85 + -11.8p = 45.45 + 0.0 48.85 + -11.8p = 45.45 Add '-48.85' to each side of the equation. 48.85 + -48.85 + -11.8p = 45.45 + -48.85 Combine like terms: 48.85 + -48.85 = 0.00 0.00 + -11.8p = 45.45 + -48.85 -11.8p = 45.45 + -48.85 Combine like terms: 45.45 + -48.85 = -3.4 -11.8p = -3.4 Divide each side by '-11.8'. p = 0.2881355932 Simplifying p = 0.2881355932
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