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Simplifying 100 + -1.5p = 50 + 0.5p Solving 100 + -1.5p = 50 + 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 + -1.5p + -0.5p = 50 + 0.5p + -0.5p Combine like terms: -1.5p + -0.5p = -2p 100 + -2p = 50 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 100 + -2p = 50 + 0.0 100 + -2p = 50 Add '-100' to each side of the equation. 100 + -100 + -2p = 50 + -100 Combine like terms: 100 + -100 = 0 0 + -2p = 50 + -100 -2p = 50 + -100 Combine like terms: 50 + -100 = -50 -2p = -50 Divide each side by '-2'. p = 25 Simplifying p = 25
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