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Simplifying -3p + 8 = 6 + -1(5p + 7) Reorder the terms: 8 + -3p = 6 + -1(5p + 7) Reorder the terms: 8 + -3p = 6 + -1(7 + 5p) 8 + -3p = 6 + (7 * -1 + 5p * -1) 8 + -3p = 6 + (-7 + -5p) Combine like terms: 6 + -7 = -1 8 + -3p = -1 + -5p Solving 8 + -3p = -1 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 8 + -3p + 5p = -1 + -5p + 5p Combine like terms: -3p + 5p = 2p 8 + 2p = -1 + -5p + 5p Combine like terms: -5p + 5p = 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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