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