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Simplifying 0.33p + 7 = 12 + -0.667p Reorder the terms: 7 + 0.33p = 12 + -0.667p Solving 7 + 0.33p = 12 + -0.667p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.667p' to each side of the equation. 7 + 0.33p + 0.667p = 12 + -0.667p + 0.667p Combine like terms: 0.33p + 0.667p = 0.997p 7 + 0.997p = 12 + -0.667p + 0.667p Combine like terms: -0.667p + 0.667p = 0.000 7 + 0.997p = 12 + 0.000 7 + 0.997p = 12 Add '-7' to each side of the equation. 7 + -7 + 0.997p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 0.997p = 12 + -7 0.997p = 12 + -7 Combine like terms: 12 + -7 = 5 0.997p = 5 Divide each side by '0.997'. p = 5.015045135 Simplifying p = 5.015045135
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