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Simplifying (p + 20) + p + (2p + -32) = 400 Reorder the terms: (20 + p) + p + (2p + -32) = 400 Remove parenthesis around (20 + p) 20 + p + p + (2p + -32) = 400 Reorder the terms: 20 + p + p + (-32 + 2p) = 400 Remove parenthesis around (-32 + 2p) 20 + p + p + -32 + 2p = 400 Reorder the terms: 20 + -32 + p + p + 2p = 400 Combine like terms: 20 + -32 = -12 -12 + p + p + 2p = 400 Combine like terms: p + p = 2p -12 + 2p + 2p = 400 Combine like terms: 2p + 2p = 4p -12 + 4p = 400 Solving -12 + 4p = 400 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 + 4p = 400 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 400 + 12 4p = 400 + 12 Combine like terms: 400 + 12 = 412 4p = 412 Divide each side by '4'. p = 103 Simplifying p = 103
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