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Simplifying -8p + 4 = 4(1 + 6p) Reorder the terms: 4 + -8p = 4(1 + 6p) 4 + -8p = (1 * 4 + 6p * 4) 4 + -8p = (4 + 24p) Add '-4' to each side of the equation. 4 + -4 + -8p = 4 + -4 + 24p Combine like terms: 4 + -4 = 0 0 + -8p = 4 + -4 + 24p -8p = 4 + -4 + 24p Combine like terms: 4 + -4 = 0 -8p = 0 + 24p -8p = 24p Solving -8p = 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. -8p + -24p = 24p + -24p Combine like terms: -8p + -24p = -32p -32p = 24p + -24p Combine like terms: 24p + -24p = 0 -32p = 0 Divide each side by '-32'. p = 0 Simplifying p = 0
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