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Simplifying 2(2p + 3) = p + 9 Reorder the terms: 2(3 + 2p) = p + 9 (3 * 2 + 2p * 2) = p + 9 (6 + 4p) = p + 9 Reorder the terms: 6 + 4p = 9 + p Solving 6 + 4p = 9 + 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. 6 + 4p + -1p = 9 + p + -1p Combine like terms: 4p + -1p = 3p 6 + 3p = 9 + p + -1p Combine like terms: p + -1p = 0 6 + 3p = 9 + 0 6 + 3p = 9 Add '-6' to each side of the equation. 6 + -6 + 3p = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3p = 9 + -6 3p = 9 + -6 Combine like terms: 9 + -6 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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