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Simplifying 9 + 2p + -7 = 8p + 14 + -3p Reorder the terms: 9 + -7 + 2p = 8p + 14 + -3p Combine like terms: 9 + -7 = 2 2 + 2p = 8p + 14 + -3p Reorder the terms: 2 + 2p = 14 + 8p + -3p Combine like terms: 8p + -3p = 5p 2 + 2p = 14 + 5p Solving 2 + 2p = 14 + 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 = 14 + 5p + -5p Combine like terms: 2p + -5p = -3p 2 + -3p = 14 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -3p = 14 + 0 2 + -3p = 14 Add '-2' to each side of the equation. 2 + -2 + -3p = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 14 + -2 -3p = 14 + -2 Combine like terms: 14 + -2 = 12 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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