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Simplifying 0.38p + 0.44p + -0.75 = 0.25 + 0.06p + 0.50 Reorder the terms: -0.75 + 0.38p + 0.44p = 0.25 + 0.06p + 0.50 Combine like terms: 0.38p + 0.44p = 0.82p -0.75 + 0.82p = 0.25 + 0.06p + 0.50 Reorder the terms: -0.75 + 0.82p = 0.25 + 0.50 + 0.06p Combine like terms: 0.25 + 0.50 = 0.75 -0.75 + 0.82p = 0.75 + 0.06p Solving -0.75 + 0.82p = 0.75 + 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. -0.75 + 0.82p + -0.06p = 0.75 + 0.06p + -0.06p Combine like terms: 0.82p + -0.06p = 0.76p -0.75 + 0.76p = 0.75 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.75 + 0.76p = 0.75 + 0.00 -0.75 + 0.76p = 0.75 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.76p = 0.75 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.76p = 0.75 + 0.75 0.76p = 0.75 + 0.75 Combine like terms: 0.75 + 0.75 = 1.5 0.76p = 1.5 Divide each side by '0.76'. p = 1.973684211 Simplifying p = 1.973684211
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