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Simplifying 2.8 + 0.7p = 0.9p + 5.3 Reorder the terms: 2.8 + 0.7p = 5.3 + 0.9p Solving 2.8 + 0.7p = 5.3 + 0.9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.9p' to each side of the equation. 2.8 + 0.7p + -0.9p = 5.3 + 0.9p + -0.9p Combine like terms: 0.7p + -0.9p = -0.2p 2.8 + -0.2p = 5.3 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 2.8 + -0.2p = 5.3 + 0.0 2.8 + -0.2p = 5.3 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -0.2p = 5.3 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -0.2p = 5.3 + -2.8 -0.2p = 5.3 + -2.8 Combine like terms: 5.3 + -2.8 = 2.5 -0.2p = 2.5 Divide each side by '-0.2'. p = -12.5 Simplifying p = -12.5
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