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Simplifying -1(2p + 1) + 8 = -1 + 8p Reorder the terms: -1(1 + 2p) + 8 = -1 + 8p (1 * -1 + 2p * -1) + 8 = -1 + 8p (-1 + -2p) + 8 = -1 + 8p Reorder the terms: -1 + 8 + -2p = -1 + 8p Combine like terms: -1 + 8 = 7 7 + -2p = -1 + 8p Solving 7 + -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. 7 + -2p + -8p = -1 + 8p + -8p Combine like terms: -2p + -8p = -10p 7 + -10p = -1 + 8p + -8p Combine like terms: 8p + -8p = 0 7 + -10p = -1 + 0 7 + -10p = -1 Add '-7' to each side of the equation. 7 + -7 + -10p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -10p = -1 + -7 -10p = -1 + -7 Combine like terms: -1 + -7 = -8 -10p = -8 Divide each side by '-10'. p = 0.8 Simplifying p = 0.8
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