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Simplifying -28.1 + 0.1p = 0.9p + 5.1 Reorder the terms: -28.1 + 0.1p = 5.1 + 0.9p Solving -28.1 + 0.1p = 5.1 + 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. -28.1 + 0.1p + -0.9p = 5.1 + 0.9p + -0.9p Combine like terms: 0.1p + -0.9p = -0.8p -28.1 + -0.8p = 5.1 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 -28.1 + -0.8p = 5.1 + 0.0 -28.1 + -0.8p = 5.1 Add '28.1' to each side of the equation. -28.1 + 28.1 + -0.8p = 5.1 + 28.1 Combine like terms: -28.1 + 28.1 = 0.0 0.0 + -0.8p = 5.1 + 28.1 -0.8p = 5.1 + 28.1 Combine like terms: 5.1 + 28.1 = 33.2 -0.8p = 33.2 Divide each side by '-0.8'. p = -41.5 Simplifying p = -41.5
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