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Simplifying 50 + 0.4p = 30 + 0.8p Solving 50 + 0.4p = 30 + 0.8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.8p' to each side of the equation. 50 + 0.4p + -0.8p = 30 + 0.8p + -0.8p Combine like terms: 0.4p + -0.8p = -0.4p 50 + -0.4p = 30 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 50 + -0.4p = 30 + 0.0 50 + -0.4p = 30 Add '-50' to each side of the equation. 50 + -50 + -0.4p = 30 + -50 Combine like terms: 50 + -50 = 0 0 + -0.4p = 30 + -50 -0.4p = 30 + -50 Combine like terms: 30 + -50 = -20 -0.4p = -20 Divide each side by '-0.4'. p = 50 Simplifying p = 50
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