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Simplifying 0.333p + 7 = 12 + -0.666p Reorder the terms: 7 + 0.333p = 12 + -0.666p Solving 7 + 0.333p = 12 + -0.666p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.666p' to each side of the equation. 7 + 0.333p + 0.666p = 12 + -0.666p + 0.666p Combine like terms: 0.333p + 0.666p = 0.999p 7 + 0.999p = 12 + -0.666p + 0.666p Combine like terms: -0.666p + 0.666p = 0.000 7 + 0.999p = 12 + 0.000 7 + 0.999p = 12 Add '-7' to each side of the equation. 7 + -7 + 0.999p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 0.999p = 12 + -7 0.999p = 12 + -7 Combine like terms: 12 + -7 = 5 0.999p = 5 Divide each side by '0.999'. p = 5.005005005 Simplifying p = 5.005005005
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