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Simplifying -2p + 8 = 6 + -1(4p + 7) Reorder the terms: 8 + -2p = 6 + -1(4p + 7) Reorder the terms: 8 + -2p = 6 + -1(7 + 4p) 8 + -2p = 6 + (7 * -1 + 4p * -1) 8 + -2p = 6 + (-7 + -4p) Combine like terms: 6 + -7 = -1 8 + -2p = -1 + -4p Solving 8 + -2p = -1 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 8 + -2p + 4p = -1 + -4p + 4p Combine like terms: -2p + 4p = 2p 8 + 2p = -1 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + 2p = -1 + 0 8 + 2p = -1 Add '-8' to each side of the equation. 8 + -8 + 2p = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = -1 + -8 2p = -1 + -8 Combine like terms: -1 + -8 = -9 2p = -9 Divide each side by '2'. p = -4.5 Simplifying p = -4.5
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