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Simplifying p + 6 + p = p + 42 Reorder the terms: 6 + p + p = p + 42 Combine like terms: p + p = 2p 6 + 2p = p + 42 Reorder the terms: 6 + 2p = 42 + p Solving 6 + 2p = 42 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 6 + 2p + -1p = 42 + p + -1p Combine like terms: 2p + -1p = 1p 6 + 1p = 42 + p + -1p Combine like terms: p + -1p = 0 6 + 1p = 42 + 0 6 + 1p = 42 Add '-6' to each side of the equation. 6 + -6 + 1p = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 1p = 42 + -6 1p = 42 + -6 Combine like terms: 42 + -6 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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