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Simplifying (3p + 8) = p + 40 Reorder the terms: (8 + 3p) = p + 40 Remove parenthesis around (8 + 3p) 8 + 3p = p + 40 Reorder the terms: 8 + 3p = 40 + p Solving 8 + 3p = 40 + 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. 8 + 3p + -1p = 40 + p + -1p Combine like terms: 3p + -1p = 2p 8 + 2p = 40 + p + -1p Combine like terms: p + -1p = 0 8 + 2p = 40 + 0 8 + 2p = 40 Add '-8' to each side of the equation. 8 + -8 + 2p = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 40 + -8 2p = 40 + -8 Combine like terms: 40 + -8 = 32 2p = 32 Divide each side by '2'. p = 16 Simplifying p = 16
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