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Simplifying 5 + 2p + -2 = 9p + 12 + -6p Reorder the terms: 5 + -2 + 2p = 9p + 12 + -6p Combine like terms: 5 + -2 = 3 3 + 2p = 9p + 12 + -6p Reorder the terms: 3 + 2p = 12 + 9p + -6p Combine like terms: 9p + -6p = 3p 3 + 2p = 12 + 3p Solving 3 + 2p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3 + 2p + -3p = 12 + 3p + -3p Combine like terms: 2p + -3p = -1p 3 + -1p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -1p = 12 + 0 3 + -1p = 12 Add '-3' to each side of the equation. 3 + -3 + -1p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 12 + -3 -1p = 12 + -3 Combine like terms: 12 + -3 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9
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