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Simplifying 2p + 4 + -1p + 8 + 6p = 47 Reorder the terms: 4 + 8 + 2p + -1p + 6p = 47 Combine like terms: 4 + 8 = 12 12 + 2p + -1p + 6p = 47 Combine like terms: 2p + -1p = 1p 12 + 1p + 6p = 47 Combine like terms: 1p + 6p = 7p 12 + 7p = 47 Solving 12 + 7p = 47 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 + 7p = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 7p = 47 + -12 7p = 47 + -12 Combine like terms: 47 + -12 = 35 7p = 35 Divide each side by '7'. p = 5 Simplifying p = 5
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