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Simplifying 4176 = 48(p + 25) Reorder the terms: 4176 = 48(25 + p) 4176 = (25 * 48 + p * 48) 4176 = (1200 + 48p) Solving 4176 = 1200 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. 4176 + -48p = 1200 + 48p + -48p Combine like terms: 48p + -48p = 0 4176 + -48p = 1200 + 0 4176 + -48p = 1200 Add '-4176' to each side of the equation. 4176 + -4176 + -48p = 1200 + -4176 Combine like terms: 4176 + -4176 = 0 0 + -48p = 1200 + -4176 -48p = 1200 + -4176 Combine like terms: 1200 + -4176 = -2976 -48p = -2976 Divide each side by '-48'. p = 62 Simplifying p = 62
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