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Simplifying 9 + 2p + -6 = 9p + 13 + -5p Reorder the terms: 9 + -6 + 2p = 9p + 13 + -5p Combine like terms: 9 + -6 = 3 3 + 2p = 9p + 13 + -5p Reorder the terms: 3 + 2p = 13 + 9p + -5p Combine like terms: 9p + -5p = 4p 3 + 2p = 13 + 4p Solving 3 + 2p = 13 + 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. 3 + 2p + -4p = 13 + 4p + -4p Combine like terms: 2p + -4p = -2p 3 + -2p = 13 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + -2p = 13 + 0 3 + -2p = 13 Add '-3' to each side of the equation. 3 + -3 + -2p = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = 13 + -3 -2p = 13 + -3 Combine like terms: 13 + -3 = 10 -2p = 10 Divide each side by '-2'. p = -5 Simplifying p = -5
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