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Simplifying 100 + -1p = 10 + 0.5p Solving 100 + -1p = 10 + 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. 100 + -1p + -0.5p = 10 + 0.5p + -0.5p Combine like terms: -1p + -0.5p = -1.5p 100 + -1.5p = 10 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 100 + -1.5p = 10 + 0.0 100 + -1.5p = 10 Add '-100' to each side of the equation. 100 + -100 + -1.5p = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -1.5p = 10 + -100 -1.5p = 10 + -100 Combine like terms: 10 + -100 = -90 -1.5p = -90 Divide each side by '-1.5'. p = 60 Simplifying p = 60
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