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Simplifying 7 + 2p + -4 = 8p + 11 + -5p Reorder the terms: 7 + -4 + 2p = 8p + 11 + -5p Combine like terms: 7 + -4 = 3 3 + 2p = 8p + 11 + -5p Reorder the terms: 3 + 2p = 11 + 8p + -5p Combine like terms: 8p + -5p = 3p 3 + 2p = 11 + 3p Solving 3 + 2p = 11 + 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. 3 + 2p + -3p = 11 + 3p + -3p Combine like terms: 2p + -3p = -1p 3 + -1p = 11 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -1p = 11 + 0 3 + -1p = 11 Add '-3' to each side of the equation. 3 + -3 + -1p = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 11 + -3 -1p = 11 + -3 Combine like terms: 11 + -3 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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