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Simplifying 0.5p + 7 = 0.75p + 9 Reorder the terms: 7 + 0.5p = 0.75p + 9 Reorder the terms: 7 + 0.5p = 9 + 0.75p Solving 7 + 0.5p = 9 + 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. 7 + 0.5p + -0.75p = 9 + 0.75p + -0.75p Combine like terms: 0.5p + -0.75p = -0.25p 7 + -0.25p = 9 + 0.75p + -0.75p Combine like terms: 0.75p + -0.75p = 0.00 7 + -0.25p = 9 + 0.00 7 + -0.25p = 9 Add '-7' to each side of the equation. 7 + -7 + -0.25p = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -0.25p = 9 + -7 -0.25p = 9 + -7 Combine like terms: 9 + -7 = 2 -0.25p = 2 Divide each side by '-0.25'. p = -8 Simplifying p = -8
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