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Simplifying 11 + p = 0.25(50 + p) 11 + p = (50 * 0.25 + p * 0.25) 11 + p = (12.5 + 0.25p) Solving 11 + p = 12.5 + 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. 11 + p + -0.25p = 12.5 + 0.25p + -0.25p Combine like terms: p + -0.25p = 0.75p 11 + 0.75p = 12.5 + 0.25p + -0.25p Combine like terms: 0.25p + -0.25p = 0.00 11 + 0.75p = 12.5 + 0.00 11 + 0.75p = 12.5 Add '-11' to each side of the equation. 11 + -11 + 0.75p = 12.5 + -11 Combine like terms: 11 + -11 = 0 0 + 0.75p = 12.5 + -11 0.75p = 12.5 + -11 Combine like terms: 12.5 + -11 = 1.5 0.75p = 1.5 Divide each side by '0.75'. p = 2 Simplifying p = 2
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