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Simplifying 0.67p + 12 = 0.33p + 10 Reorder the terms: 12 + 0.67p = 0.33p + 10 Reorder the terms: 12 + 0.67p = 10 + 0.33p Solving 12 + 0.67p = 10 + 0.33p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.33p' to each side of the equation. 12 + 0.67p + -0.33p = 10 + 0.33p + -0.33p Combine like terms: 0.67p + -0.33p = 0.34p 12 + 0.34p = 10 + 0.33p + -0.33p Combine like terms: 0.33p + -0.33p = 0.00 12 + 0.34p = 10 + 0.00 12 + 0.34p = 10 Add '-12' to each side of the equation. 12 + -12 + 0.34p = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 0.34p = 10 + -12 0.34p = 10 + -12 Combine like terms: 10 + -12 = -2 0.34p = -2 Divide each side by '0.34'. p = -5.882352941 Simplifying p = -5.882352941
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