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Simplifying 6p + -5(-7p + -8) = 1 + 2p Reorder the terms: 6p + -5(-8 + -7p) = 1 + 2p 6p + (-8 * -5 + -7p * -5) = 1 + 2p 6p + (40 + 35p) = 1 + 2p Reorder the terms: 40 + 6p + 35p = 1 + 2p Combine like terms: 6p + 35p = 41p 40 + 41p = 1 + 2p Solving 40 + 41p = 1 + 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. 40 + 41p + -2p = 1 + 2p + -2p Combine like terms: 41p + -2p = 39p 40 + 39p = 1 + 2p + -2p Combine like terms: 2p + -2p = 0 40 + 39p = 1 + 0 40 + 39p = 1 Add '-40' to each side of the equation. 40 + -40 + 39p = 1 + -40 Combine like terms: 40 + -40 = 0 0 + 39p = 1 + -40 39p = 1 + -40 Combine like terms: 1 + -40 = -39 39p = -39 Divide each side by '39'. p = -1 Simplifying p = -1
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