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Simplifying (p + 20) + p + (4p + -32) = 400 Reorder the terms: (20 + p) + p + (4p + -32) = 400 Remove parenthesis around (20 + p) 20 + p + p + (4p + -32) = 400 Reorder the terms: 20 + p + p + (-32 + 4p) = 400 Remove parenthesis around (-32 + 4p) 20 + p + p + -32 + 4p = 400 Reorder the terms: 20 + -32 + p + p + 4p = 400 Combine like terms: 20 + -32 = -12 -12 + p + p + 4p = 400 Combine like terms: p + p = 2p -12 + 2p + 4p = 400 Combine like terms: 2p + 4p = 6p -12 + 6p = 400 Solving -12 + 6p = 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 + 6p = 400 + 12 Combine like terms: -12 + 12 = 0 0 + 6p = 400 + 12 6p = 400 + 12 Combine like terms: 400 + 12 = 412 6p = 412 Divide each side by '6'. p = 68.66666667 Simplifying p = 68.66666667
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