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Simplifying 174 = 6(1 + 4p) 174 = (1 * 6 + 4p * 6) 174 = (6 + 24p) Solving 174 = 6 + 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. 174 + -24p = 6 + 24p + -24p Combine like terms: 24p + -24p = 0 174 + -24p = 6 + 0 174 + -24p = 6 Add '-174' to each side of the equation. 174 + -174 + -24p = 6 + -174 Combine like terms: 174 + -174 = 0 0 + -24p = 6 + -174 -24p = 6 + -174 Combine like terms: 6 + -174 = -168 -24p = -168 Divide each side by '-24'. p = 7 Simplifying p = 7
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