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Simplifying 25p + (50)(100 + -1p) = 700 25p + (100 * 50 + -1p * 50) = 700 25p + (5000 + -50p) = 700 Reorder the terms: 5000 + 25p + -50p = 700 Combine like terms: 25p + -50p = -25p 5000 + -25p = 700 Solving 5000 + -25p = 700 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5000' to each side of the equation. 5000 + -5000 + -25p = 700 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -25p = 700 + -5000 -25p = 700 + -5000 Combine like terms: 700 + -5000 = -4300 -25p = -4300 Divide each side by '-25'. p = 172 Simplifying p = 172
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