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Simplifying 3 + 4p + 8 = 2p + 12 + 3p Reorder the terms: 3 + 8 + 4p = 2p + 12 + 3p Combine like terms: 3 + 8 = 11 11 + 4p = 2p + 12 + 3p Reorder the terms: 11 + 4p = 12 + 2p + 3p Combine like terms: 2p + 3p = 5p 11 + 4p = 12 + 5p Solving 11 + 4p = 12 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 11 + 4p + -5p = 12 + 5p + -5p Combine like terms: 4p + -5p = -1p 11 + -1p = 12 + 5p + -5p Combine like terms: 5p + -5p = 0 11 + -1p = 12 + 0 11 + -1p = 12 Add '-11' to each side of the equation. 11 + -11 + -1p = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 12 + -11 -1p = 12 + -11 Combine like terms: 12 + -11 = 1 -1p = 1 Divide each side by '-1'. p = -1 Simplifying p = -1
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