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Simplifying -2p + -9 = 5p + 12 Reorder the terms: -9 + -2p = 5p + 12 Reorder the terms: -9 + -2p = 12 + 5p Solving -9 + -2p = 12 + 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. -9 + -2p + -5p = 12 + 5p + -5p Combine like terms: -2p + -5p = -7p -9 + -7p = 12 + 5p + -5p Combine like terms: 5p + -5p = 0 -9 + -7p = 12 + 0 -9 + -7p = 12 Add '9' to each side of the equation. -9 + 9 + -7p = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -7p = 12 + 9 -7p = 12 + 9 Combine like terms: 12 + 9 = 21 -7p = 21 Divide each side by '-7'. p = -3 Simplifying p = -3
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