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Simplifying 1 + -2p + 7 = 3 + -4p + 9 Reorder the terms: 1 + 7 + -2p = 3 + -4p + 9 Combine like terms: 1 + 7 = 8 8 + -2p = 3 + -4p + 9 Reorder the terms: 8 + -2p = 3 + 9 + -4p Combine like terms: 3 + 9 = 12 8 + -2p = 12 + -4p Solving 8 + -2p = 12 + -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. 8 + -2p + 4p = 12 + -4p + 4p Combine like terms: -2p + 4p = 2p 8 + 2p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + 2p = 12 + 0 8 + 2p = 12 Add '-8' to each side of the equation. 8 + -8 + 2p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 12 + -8 2p = 12 + -8 Combine like terms: 12 + -8 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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