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Simplifying 3(8 + -4p) + 4p = 3(8p + 8) (8 * 3 + -4p * 3) + 4p = 3(8p + 8) (24 + -12p) + 4p = 3(8p + 8) Combine like terms: -12p + 4p = -8p 24 + -8p = 3(8p + 8) Reorder the terms: 24 + -8p = 3(8 + 8p) 24 + -8p = (8 * 3 + 8p * 3) 24 + -8p = (24 + 24p) Add '-24' to each side of the equation. 24 + -24 + -8p = 24 + -24 + 24p Combine like terms: 24 + -24 = 0 0 + -8p = 24 + -24 + 24p -8p = 24 + -24 + 24p Combine like terms: 24 + -24 = 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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