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Simplifying -0.40p + 2 = 0.10p + 11 Reorder the terms: 2 + -0.40p = 0.10p + 11 Reorder the terms: 2 + -0.40p = 11 + 0.10p Solving 2 + -0.40p = 11 + 0.10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.10p' to each side of the equation. 2 + -0.40p + -0.10p = 11 + 0.10p + -0.10p Combine like terms: -0.40p + -0.10p = -0.5p 2 + -0.5p = 11 + 0.10p + -0.10p Combine like terms: 0.10p + -0.10p = 0.00 2 + -0.5p = 11 + 0.00 2 + -0.5p = 11 Add '-2' to each side of the equation. 2 + -2 + -0.5p = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5p = 11 + -2 -0.5p = 11 + -2 Combine like terms: 11 + -2 = 9 -0.5p = 9 Divide each side by '-0.5'. p = -18 Simplifying p = -18
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