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Simplifying -2p + 8 = 6 + -1(4p + 5) Reorder the terms: 8 + -2p = 6 + -1(4p + 5) Reorder the terms: 8 + -2p = 6 + -1(5 + 4p) 8 + -2p = 6 + (5 * -1 + 4p * -1) 8 + -2p = 6 + (-5 + -4p) Combine like terms: 6 + -5 = 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 = -7 2p = -7 Divide each side by '2'. p = -3.5 Simplifying p = -3.5
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