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