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Simplifying 8 + -1p = 12 + -3p Solving 8 + -1p = 12 + -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 = 12 + -3p + 3p Combine like terms: -1p + 3p = 2p 8 + 2p = 12 + -3p + 3p Combine like terms: -3p + 3p = 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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