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Simplifying -5p + 12 = 6 + -8p + p Reorder the terms: 12 + -5p = 6 + -8p + p Combine like terms: -8p + p = -7p 12 + -5p = 6 + -7p Solving 12 + -5p = 6 + -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. 12 + -5p + 7p = 6 + -7p + 7p Combine like terms: -5p + 7p = 2p 12 + 2p = 6 + -7p + 7p Combine like terms: -7p + 7p = 0 12 + 2p = 6 + 0 12 + 2p = 6 Add '-12' to each side of the equation. 12 + -12 + 2p = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 6 + -12 2p = 6 + -12 Combine like terms: 6 + -12 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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