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Simplifying 6 + 2p + -2 = 8p + 14 + -4p Reorder the terms: 6 + -2 + 2p = 8p + 14 + -4p Combine like terms: 6 + -2 = 4 4 + 2p = 8p + 14 + -4p Reorder the terms: 4 + 2p = 14 + 8p + -4p Combine like terms: 8p + -4p = 4p 4 + 2p = 14 + 4p Solving 4 + 2p = 14 + 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. 4 + 2p + -4p = 14 + 4p + -4p Combine like terms: 2p + -4p = -2p 4 + -2p = 14 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + -2p = 14 + 0 4 + -2p = 14 Add '-4' to each side of the equation. 4 + -4 + -2p = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -2p = 14 + -4 -2p = 14 + -4 Combine like terms: 14 + -4 = 10 -2p = 10 Divide each side by '-2'. p = -5 Simplifying p = -5
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