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Simplifying 7 + -2p = -1(8p + 5) Reorder the terms: 7 + -2p = -1(5 + 8p) 7 + -2p = (5 * -1 + 8p * -1) 7 + -2p = (-5 + -8p) Solving 7 + -2p = -5 + -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 = -5 + -8p + 8p Combine like terms: -2p + 8p = 6p 7 + 6p = -5 + -8p + 8p Combine like terms: -8p + 8p = 0 7 + 6p = -5 + 0 7 + 6p = -5 Add '-7' to each side of the equation. 7 + -7 + 6p = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = -5 + -7 6p = -5 + -7 Combine like terms: -5 + -7 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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