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Simplifying 8p + -2p + 12 = 42 Reorder the terms: 12 + 8p + -2p = 42 Combine like terms: 8p + -2p = 6p 12 + 6p = 42 Solving 12 + 6p = 42 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6p = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6p = 42 + -12 6p = 42 + -12 Combine like terms: 42 + -12 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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