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Simplifying 6 + -1p + 2 = 6 + -3p Reorder the terms: 6 + 2 + -1p = 6 + -3p Combine like terms: 6 + 2 = 8 8 + -1p = 6 + -3p Solving 8 + -1p = 6 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 8 + -1p + 3p = 6 + -3p + 3p Combine like terms: -1p + 3p = 2p 8 + 2p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 8 + 2p = 6 + 0 8 + 2p = 6 Add '-8' to each side of the equation. 8 + -8 + 2p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 6 + -8 2p = 6 + -8 Combine like terms: 6 + -8 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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