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Simplifying 3(4p + -1) + -3(-1 + -8p) = -8p + -3p Reorder the terms: 3(-1 + 4p) + -3(-1 + -8p) = -8p + -3p (-1 * 3 + 4p * 3) + -3(-1 + -8p) = -8p + -3p (-3 + 12p) + -3(-1 + -8p) = -8p + -3p -3 + 12p + (-1 * -3 + -8p * -3) = -8p + -3p -3 + 12p + (3 + 24p) = -8p + -3p Reorder the terms: -3 + 3 + 12p + 24p = -8p + -3p Combine like terms: -3 + 3 = 0 0 + 12p + 24p = -8p + -3p 12p + 24p = -8p + -3p Combine like terms: 12p + 24p = 36p 36p = -8p + -3p Combine like terms: -8p + -3p = -11p 36p = -11p Solving 36p = -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 36p + 11p = -11p + 11p Combine like terms: 36p + 11p = 47p 47p = -11p + 11p Combine like terms: -11p + 11p = 0 47p = 0 Divide each side by '47'. p = 0 Simplifying p = 0
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