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Simplifying 14 + -0.5p + 12 = 0.25p + -1 + 12 Reorder the terms: 14 + 12 + -0.5p = 0.25p + -1 + 12 Combine like terms: 14 + 12 = 26 26 + -0.5p = 0.25p + -1 + 12 Reorder the terms: 26 + -0.5p = -1 + 12 + 0.25p Combine like terms: -1 + 12 = 11 26 + -0.5p = 11 + 0.25p Solving 26 + -0.5p = 11 + 0.25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.25p' to each side of the equation. 26 + -0.5p + -0.25p = 11 + 0.25p + -0.25p Combine like terms: -0.5p + -0.25p = -0.75p 26 + -0.75p = 11 + 0.25p + -0.25p Combine like terms: 0.25p + -0.25p = 0.00 26 + -0.75p = 11 + 0.00 26 + -0.75p = 11 Add '-26' to each side of the equation. 26 + -26 + -0.75p = 11 + -26 Combine like terms: 26 + -26 = 0 0 + -0.75p = 11 + -26 -0.75p = 11 + -26 Combine like terms: 11 + -26 = -15 -0.75p = -15 Divide each side by '-0.75'. p = 20 Simplifying p = 20
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