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Simplifying 2(2p + 1) = p + 2 Reorder the terms: 2(1 + 2p) = p + 2 (1 * 2 + 2p * 2) = p + 2 (2 + 4p) = p + 2 Reorder the terms: 2 + 4p = 2 + p Add '-2' to each side of the equation. 2 + -2 + 4p = 2 + -2 + p Combine like terms: 2 + -2 = 0 0 + 4p = 2 + -2 + p 4p = 2 + -2 + p Combine like terms: 2 + -2 = 0 4p = 0 + p 4p = p Solving 4p = 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. 4p + -1p = p + -1p Combine like terms: 4p + -1p = 3p 3p = p + -1p Combine like terms: p + -1p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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