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Simplifying -6(-4p + -1) = 7p + 6 + 2p Reorder the terms: -6(-1 + -4p) = 7p + 6 + 2p (-1 * -6 + -4p * -6) = 7p + 6 + 2p (6 + 24p) = 7p + 6 + 2p Reorder the terms: 6 + 24p = 6 + 7p + 2p Combine like terms: 7p + 2p = 9p 6 + 24p = 6 + 9p Add '-6' to each side of the equation. 6 + -6 + 24p = 6 + -6 + 9p Combine like terms: 6 + -6 = 0 0 + 24p = 6 + -6 + 9p 24p = 6 + -6 + 9p Combine like terms: 6 + -6 = 0 24p = 0 + 9p 24p = 9p Solving 24p = 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 24p + -9p = 9p + -9p Combine like terms: 24p + -9p = 15p 15p = 9p + -9p Combine like terms: 9p + -9p = 0 15p = 0 Divide each side by '15'. p = 0 Simplifying p = 0
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