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Simplifying -1(1 + -8p) + 7 = 6p + 2 (1 * -1 + -8p * -1) + 7 = 6p + 2 (-1 + 8p) + 7 = 6p + 2 Reorder the terms: -1 + 7 + 8p = 6p + 2 Combine like terms: -1 + 7 = 6 6 + 8p = 6p + 2 Reorder the terms: 6 + 8p = 2 + 6p Solving 6 + 8p = 2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 6 + 8p + -6p = 2 + 6p + -6p Combine like terms: 8p + -6p = 2p 6 + 2p = 2 + 6p + -6p Combine like terms: 6p + -6p = 0 6 + 2p = 2 + 0 6 + 2p = 2 Add '-6' to each side of the equation. 6 + -6 + 2p = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2p = 2 + -6 2p = 2 + -6 Combine like terms: 2 + -6 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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