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Simplifying 0.5p + 8 = 0.75p + 18 Reorder the terms: 8 + 0.5p = 0.75p + 18 Reorder the terms: 8 + 0.5p = 18 + 0.75p Solving 8 + 0.5p = 18 + 0.75p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.75p' to each side of the equation. 8 + 0.5p + -0.75p = 18 + 0.75p + -0.75p Combine like terms: 0.5p + -0.75p = -0.25p 8 + -0.25p = 18 + 0.75p + -0.75p Combine like terms: 0.75p + -0.75p = 0.00 8 + -0.25p = 18 + 0.00 8 + -0.25p = 18 Add '-8' to each side of the equation. 8 + -8 + -0.25p = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -0.25p = 18 + -8 -0.25p = 18 + -8 Combine like terms: 18 + -8 = 10 -0.25p = 10 Divide each side by '-0.25'. p = -40 Simplifying p = -40
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