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Simplifying 8 + 2p + -6 = 9p + 8 + -4p Reorder the terms: 8 + -6 + 2p = 9p + 8 + -4p Combine like terms: 8 + -6 = 2 2 + 2p = 9p + 8 + -4p Reorder the terms: 2 + 2p = 8 + 9p + -4p Combine like terms: 9p + -4p = 5p 2 + 2p = 8 + 5p Solving 2 + 2p = 8 + 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. 2 + 2p + -5p = 8 + 5p + -5p Combine like terms: 2p + -5p = -3p 2 + -3p = 8 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -3p = 8 + 0 2 + -3p = 8 Add '-2' to each side of the equation. 2 + -2 + -3p = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 8 + -2 -3p = 8 + -2 Combine like terms: 8 + -2 = 6 -3p = 6 Divide each side by '-3'. p = -2 Simplifying p = -2
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