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Simplifying 12.5p + 8 = 4.5p + 28 Reorder the terms: 8 + 12.5p = 4.5p + 28 Reorder the terms: 8 + 12.5p = 28 + 4.5p Solving 8 + 12.5p = 28 + 4.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.5p' to each side of the equation. 8 + 12.5p + -4.5p = 28 + 4.5p + -4.5p Combine like terms: 12.5p + -4.5p = 8p 8 + 8p = 28 + 4.5p + -4.5p Combine like terms: 4.5p + -4.5p = 0.0 8 + 8p = 28 + 0.0 8 + 8p = 28 Add '-8' to each side of the equation. 8 + -8 + 8p = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 8p = 28 + -8 8p = 28 + -8 Combine like terms: 28 + -8 = 20 8p = 20 Divide each side by '8'. p = 2.5 Simplifying p = 2.5
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