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Simplifying 0.3p + 7 = 12 + -0.6p Reorder the terms: 7 + 0.3p = 12 + -0.6p Solving 7 + 0.3p = 12 + -0.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.6p' to each side of the equation. 7 + 0.3p + 0.6p = 12 + -0.6p + 0.6p Combine like terms: 0.3p + 0.6p = 0.9p 7 + 0.9p = 12 + -0.6p + 0.6p Combine like terms: -0.6p + 0.6p = 0.0 7 + 0.9p = 12 + 0.0 7 + 0.9p = 12 Add '-7' to each side of the equation. 7 + -7 + 0.9p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 0.9p = 12 + -7 0.9p = 12 + -7 Combine like terms: 12 + -7 = 5 0.9p = 5 Divide each side by '0.9'. p = 5.555555556 Simplifying p = 5.555555556
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