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Simplifying -2p + 8 = 6 + -1(8p + 5) Reorder the terms: 8 + -2p = 6 + -1(8p + 5) Reorder the terms: 8 + -2p = 6 + -1(5 + 8p) 8 + -2p = 6 + (5 * -1 + 8p * -1) 8 + -2p = 6 + (-5 + -8p) Combine like terms: 6 + -5 = 1 8 + -2p = 1 + -8p Solving 8 + -2p = 1 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 8 + -2p + 8p = 1 + -8p + 8p Combine like terms: -2p + 8p = 6p 8 + 6p = 1 + -8p + 8p Combine like terms: -8p + 8p = 0 8 + 6p = 1 + 0 8 + 6p = 1 Add '-8' to each side of the equation. 8 + -8 + 6p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6p = 1 + -8 6p = 1 + -8 Combine like terms: 1 + -8 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667
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