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Simplifying -10.1 + 0.5p = 0.9p + 5.3 Reorder the terms: -10.1 + 0.5p = 5.3 + 0.9p Solving -10.1 + 0.5p = 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. -10.1 + 0.5p + -0.9p = 5.3 + 0.9p + -0.9p Combine like terms: 0.5p + -0.9p = -0.4p -10.1 + -0.4p = 5.3 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 -10.1 + -0.4p = 5.3 + 0.0 -10.1 + -0.4p = 5.3 Add '10.1' to each side of the equation. -10.1 + 10.1 + -0.4p = 5.3 + 10.1 Combine like terms: -10.1 + 10.1 = 0.0 0.0 + -0.4p = 5.3 + 10.1 -0.4p = 5.3 + 10.1 Combine like terms: 5.3 + 10.1 = 15.4 -0.4p = 15.4 Divide each side by '-0.4'. p = -38.5 Simplifying p = -38.5
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