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Simplifying 4p + -1p + 8 = 2p + 6 Reorder the terms: 8 + 4p + -1p = 2p + 6 Combine like terms: 4p + -1p = 3p 8 + 3p = 2p + 6 Reorder the terms: 8 + 3p = 6 + 2p Solving 8 + 3p = 6 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 8 + 3p + -2p = 6 + 2p + -2p Combine like terms: 3p + -2p = 1p 8 + 1p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 8 + 1p = 6 + 0 8 + 1p = 6 Add '-8' to each side of the equation. 8 + -8 + 1p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = 6 + -8 1p = 6 + -8 Combine like terms: 6 + -8 = -2 1p = -2 Divide each side by '1'. p = -2 Simplifying p = -2
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