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Simplifying 2p + 27 + 5p = 5 + 12p + -9 Reorder the terms: 27 + 2p + 5p = 5 + 12p + -9 Combine like terms: 2p + 5p = 7p 27 + 7p = 5 + 12p + -9 Reorder the terms: 27 + 7p = 5 + -9 + 12p Combine like terms: 5 + -9 = -4 27 + 7p = -4 + 12p Solving 27 + 7p = -4 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 27 + 7p + -12p = -4 + 12p + -12p Combine like terms: 7p + -12p = -5p 27 + -5p = -4 + 12p + -12p Combine like terms: 12p + -12p = 0 27 + -5p = -4 + 0 27 + -5p = -4 Add '-27' to each side of the equation. 27 + -27 + -5p = -4 + -27 Combine like terms: 27 + -27 = 0 0 + -5p = -4 + -27 -5p = -4 + -27 Combine like terms: -4 + -27 = -31 -5p = -31 Divide each side by '-5'. p = 6.2 Simplifying p = 6.2
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