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Simplifying 0.8p + 2.4 = 5.2p + -3.9 + 0.6p Reorder the terms: 2.4 + 0.8p = 5.2p + -3.9 + 0.6p Reorder the terms: 2.4 + 0.8p = -3.9 + 5.2p + 0.6p Combine like terms: 5.2p + 0.6p = 5.8p 2.4 + 0.8p = -3.9 + 5.8p Solving 2.4 + 0.8p = -3.9 + 5.8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5.8p' to each side of the equation. 2.4 + 0.8p + -5.8p = -3.9 + 5.8p + -5.8p Combine like terms: 0.8p + -5.8p = -5p 2.4 + -5p = -3.9 + 5.8p + -5.8p Combine like terms: 5.8p + -5.8p = 0.0 2.4 + -5p = -3.9 + 0.0 2.4 + -5p = -3.9 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -5p = -3.9 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -5p = -3.9 + -2.4 -5p = -3.9 + -2.4 Combine like terms: -3.9 + -2.4 = -6.3 -5p = -6.3 Divide each side by '-5'. p = 1.26 Simplifying p = 1.26
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