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Simplifying 15 + 0.75p = 13 + 0.5p Solving 15 + 0.75p = 13 + 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. 15 + 0.75p + -0.5p = 13 + 0.5p + -0.5p Combine like terms: 0.75p + -0.5p = 0.25p 15 + 0.25p = 13 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 15 + 0.25p = 13 + 0.0 15 + 0.25p = 13 Add '-15' to each side of the equation. 15 + -15 + 0.25p = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 0.25p = 13 + -15 0.25p = 13 + -15 Combine like terms: 13 + -15 = -2 0.25p = -2 Divide each side by '0.25'. p = -8 Simplifying p = -8
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