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Simplifying -0.4p + 2 = 0.5p + 11 Reorder the terms: 2 + -0.4p = 0.5p + 11 Reorder the terms: 2 + -0.4p = 11 + 0.5p Solving 2 + -0.4p = 11 + 0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5p' to each side of the equation. 2 + -0.4p + -0.5p = 11 + 0.5p + -0.5p Combine like terms: -0.4p + -0.5p = -0.9p 2 + -0.9p = 11 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 2 + -0.9p = 11 + 0.0 2 + -0.9p = 11 Add '-2' to each side of the equation. 2 + -2 + -0.9p = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -0.9p = 11 + -2 -0.9p = 11 + -2 Combine like terms: 11 + -2 = 9 -0.9p = 9 Divide each side by '-0.9'. p = -10 Simplifying p = -10
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