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Simplifying 0.3p + 3 = -0.5p + 9 Reorder the terms: 3 + 0.3p = -0.5p + 9 Reorder the terms: 3 + 0.3p = 9 + -0.5p Solving 3 + 0.3p = 9 + -0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.5p' to each side of the equation. 3 + 0.3p + 0.5p = 9 + -0.5p + 0.5p Combine like terms: 0.3p + 0.5p = 0.8p 3 + 0.8p = 9 + -0.5p + 0.5p Combine like terms: -0.5p + 0.5p = 0.0 3 + 0.8p = 9 + 0.0 3 + 0.8p = 9 Add '-3' to each side of the equation. 3 + -3 + 0.8p = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 0.8p = 9 + -3 0.8p = 9 + -3 Combine like terms: 9 + -3 = 6 0.8p = 6 Divide each side by '0.8'. p = 7.5 Simplifying p = 7.5
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