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Simplifying 0.5 + 0.075p = 0.1p Solving 0.5 + 0.075p = 0.1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.1p' to each side of the equation. 0.5 + 0.075p + -0.1p = 0.1p + -0.1p Combine like terms: 0.075p + -0.1p = -0.025p 0.5 + -0.025p = 0.1p + -0.1p Combine like terms: 0.1p + -0.1p = 0.0 0.5 + -0.025p = 0.0 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.025p = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.025p = 0.0 + -0.5 -0.025p = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 -0.025p = -0.5 Divide each side by '-0.025'. p = 20 Simplifying p = 20
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