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Simplifying 1 + 4p = 3(1 + -8p) + -2 1 + 4p = (1 * 3 + -8p * 3) + -2 1 + 4p = (3 + -24p) + -2 Reorder the terms: 1 + 4p = 3 + -2 + -24p Combine like terms: 3 + -2 = 1 1 + 4p = 1 + -24p Add '-1' to each side of the equation. 1 + -1 + 4p = 1 + -1 + -24p Combine like terms: 1 + -1 = 0 0 + 4p = 1 + -1 + -24p 4p = 1 + -1 + -24p Combine like terms: 1 + -1 = 0 4p = 0 + -24p 4p = -24p Solving 4p = -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. 4p + 24p = -24p + 24p Combine like terms: 4p + 24p = 28p 28p = -24p + 24p Combine like terms: -24p + 24p = 0 28p = 0 Divide each side by '28'. p = 0 Simplifying p = 0
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