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Simplifying -11.5 + 0.5p = 0.9p + 5.1 Reorder the terms: -11.5 + 0.5p = 5.1 + 0.9p Solving -11.5 + 0.5p = 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. -11.5 + 0.5p + -0.9p = 5.1 + 0.9p + -0.9p Combine like terms: 0.5p + -0.9p = -0.4p -11.5 + -0.4p = 5.1 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 -11.5 + -0.4p = 5.1 + 0.0 -11.5 + -0.4p = 5.1 Add '11.5' to each side of the equation. -11.5 + 11.5 + -0.4p = 5.1 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -0.4p = 5.1 + 11.5 -0.4p = 5.1 + 11.5 Combine like terms: 5.1 + 11.5 = 16.6 -0.4p = 16.6 Divide each side by '-0.4'. p = -41.5 Simplifying p = -41.5
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