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