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Simplifying 2975 = 25(p + 30) Reorder the terms: 2975 = 25(30 + p) 2975 = (30 * 25 + p * 25) 2975 = (750 + 25p) Solving 2975 = 750 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. 2975 + -25p = 750 + 25p + -25p Combine like terms: 25p + -25p = 0 2975 + -25p = 750 + 0 2975 + -25p = 750 Add '-2975' to each side of the equation. 2975 + -2975 + -25p = 750 + -2975 Combine like terms: 2975 + -2975 = 0 0 + -25p = 750 + -2975 -25p = 750 + -2975 Combine like terms: 750 + -2975 = -2225 -25p = -2225 Divide each side by '-25'. p = 89 Simplifying p = 89
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