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Simplifying 4(p + 2) = 2p + 9 Reorder the terms: 4(2 + p) = 2p + 9 (2 * 4 + p * 4) = 2p + 9 (8 + 4p) = 2p + 9 Reorder the terms: 8 + 4p = 9 + 2p Solving 8 + 4p = 9 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 8 + 4p + -2p = 9 + 2p + -2p Combine like terms: 4p + -2p = 2p 8 + 2p = 9 + 2p + -2p Combine like terms: 2p + -2p = 0 8 + 2p = 9 + 0 8 + 2p = 9 Add '-8' to each side of the equation. 8 + -8 + 2p = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 9 + -8 2p = 9 + -8 Combine like terms: 9 + -8 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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