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Simplifying (p + 2)(p + 2) = p2 + 20 Reorder the terms: (2 + p)(p + 2) = p2 + 20 Reorder the terms: (2 + p)(2 + p) = p2 + 20 Multiply (2 + p) * (2 + p) (2(2 + p) + p(2 + p)) = p2 + 20 ((2 * 2 + p * 2) + p(2 + p)) = p2 + 20 ((4 + 2p) + p(2 + p)) = p2 + 20 (4 + 2p + (2 * p + p * p)) = p2 + 20 (4 + 2p + (2p + p2)) = p2 + 20 Combine like terms: 2p + 2p = 4p (4 + 4p + p2) = p2 + 20 Reorder the terms: 4 + 4p + p2 = 20 + p2 Add '-1p2' to each side of the equation. 4 + 4p + p2 + -1p2 = 20 + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 4 + 4p + 0 = 20 + p2 + -1p2 4 + 4p = 20 + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 4 + 4p = 20 + 0 4 + 4p = 20 Solving 4 + 4p = 20 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4p = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 4p = 20 + -4 4p = 20 + -4 Combine like terms: 20 + -4 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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