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Simplifying 125 = 4(1 + 6p) + 1 125 = (1 * 4 + 6p * 4) + 1 125 = (4 + 24p) + 1 Reorder the terms: 125 = 4 + 1 + 24p Combine like terms: 4 + 1 = 5 125 = 5 + 24p Solving 125 = 5 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 125 + -24p = 5 + 24p + -24p Combine like terms: 24p + -24p = 0 125 + -24p = 5 + 0 125 + -24p = 5 Add '-125' to each side of the equation. 125 + -125 + -24p = 5 + -125 Combine like terms: 125 + -125 = 0 0 + -24p = 5 + -125 -24p = 5 + -125 Combine like terms: 5 + -125 = -120 -24p = -120 Divide each side by '-24'. p = 5 Simplifying p = 5
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