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Simplifying 14.6p + 34.25 = 11.8p + 45.45 Reorder the terms: 34.25 + 14.6p = 11.8p + 45.45 Reorder the terms: 34.25 + 14.6p = 45.45 + 11.8p Solving 34.25 + 14.6p = 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. 34.25 + 14.6p + -11.8p = 45.45 + 11.8p + -11.8p Combine like terms: 14.6p + -11.8p = 2.8p 34.25 + 2.8p = 45.45 + 11.8p + -11.8p Combine like terms: 11.8p + -11.8p = 0.0 34.25 + 2.8p = 45.45 + 0.0 34.25 + 2.8p = 45.45 Add '-34.25' to each side of the equation. 34.25 + -34.25 + 2.8p = 45.45 + -34.25 Combine like terms: 34.25 + -34.25 = 0.00 0.00 + 2.8p = 45.45 + -34.25 2.8p = 45.45 + -34.25 Combine like terms: 45.45 + -34.25 = 11.2 2.8p = 11.2 Divide each side by '2.8'. p = 4 Simplifying p = 4
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