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Simplifying -29.5 + 0.1p = 0.9p + 5.3 Reorder the terms: -29.5 + 0.1p = 5.3 + 0.9p Solving -29.5 + 0.1p = 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. -29.5 + 0.1p + -0.9p = 5.3 + 0.9p + -0.9p Combine like terms: 0.1p + -0.9p = -0.8p -29.5 + -0.8p = 5.3 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 -29.5 + -0.8p = 5.3 + 0.0 -29.5 + -0.8p = 5.3 Add '29.5' to each side of the equation. -29.5 + 29.5 + -0.8p = 5.3 + 29.5 Combine like terms: -29.5 + 29.5 = 0.0 0.0 + -0.8p = 5.3 + 29.5 -0.8p = 5.3 + 29.5 Combine like terms: 5.3 + 29.5 = 34.8 -0.8p = 34.8 Divide each side by '-0.8'. p = -43.5 Simplifying p = -43.5
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