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Simplifying 105 + -0.5p = 30 + p Solving 105 + -0.5p = 30 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 105 + -0.5p + -1p = 30 + p + -1p Combine like terms: -0.5p + -1p = -1.5p 105 + -1.5p = 30 + p + -1p Combine like terms: p + -1p = 0 105 + -1.5p = 30 + 0 105 + -1.5p = 30 Add '-105' to each side of the equation. 105 + -105 + -1.5p = 30 + -105 Combine like terms: 105 + -105 = 0 0 + -1.5p = 30 + -105 -1.5p = 30 + -105 Combine like terms: 30 + -105 = -75 -1.5p = -75 Divide each side by '-1.5'. p = 50 Simplifying p = 50
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