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Simplifying 0.5p + 4.1 = 5.7 + -0.3p Reorder the terms: 4.1 + 0.5p = 5.7 + -0.3p Solving 4.1 + 0.5p = 5.7 + -0.3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.3p' to each side of the equation. 4.1 + 0.5p + 0.3p = 5.7 + -0.3p + 0.3p Combine like terms: 0.5p + 0.3p = 0.8p 4.1 + 0.8p = 5.7 + -0.3p + 0.3p Combine like terms: -0.3p + 0.3p = 0.0 4.1 + 0.8p = 5.7 + 0.0 4.1 + 0.8p = 5.7 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 0.8p = 5.7 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 0.8p = 5.7 + -4.1 0.8p = 5.7 + -4.1 Combine like terms: 5.7 + -4.1 = 1.6 0.8p = 1.6 Divide each side by '0.8'. p = 2 Simplifying p = 2
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