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Simplifying 9 + 12p + -4 = 9p + 30 + -2p Reorder the terms: 9 + -4 + 12p = 9p + 30 + -2p Combine like terms: 9 + -4 = 5 5 + 12p = 9p + 30 + -2p Reorder the terms: 5 + 12p = 30 + 9p + -2p Combine like terms: 9p + -2p = 7p 5 + 12p = 30 + 7p Solving 5 + 12p = 30 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 5 + 12p + -7p = 30 + 7p + -7p Combine like terms: 12p + -7p = 5p 5 + 5p = 30 + 7p + -7p Combine like terms: 7p + -7p = 0 5 + 5p = 30 + 0 5 + 5p = 30 Add '-5' to each side of the equation. 5 + -5 + 5p = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 5p = 30 + -5 5p = 30 + -5 Combine like terms: 30 + -5 = 25 5p = 25 Divide each side by '5'. p = 5 Simplifying p = 5
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