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Simplifying 168 = 8(4p + 1) Reorder the terms: 168 = 8(1 + 4p) 168 = (1 * 8 + 4p * 8) 168 = (8 + 32p) Solving 168 = 8 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 168 + -32p = 8 + 32p + -32p Combine like terms: 32p + -32p = 0 168 + -32p = 8 + 0 168 + -32p = 8 Add '-168' to each side of the equation. 168 + -168 + -32p = 8 + -168 Combine like terms: 168 + -168 = 0 0 + -32p = 8 + -168 -32p = 8 + -168 Combine like terms: 8 + -168 = -160 -32p = -160 Divide each side by '-32'. p = 5 Simplifying p = 5
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