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Simplifying 0.4p + 2 = 0.2p + 11 Reorder the terms: 2 + 0.4p = 0.2p + 11 Reorder the terms: 2 + 0.4p = 11 + 0.2p Solving 2 + 0.4p = 11 + 0.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.2p' to each side of the equation. 2 + 0.4p + -0.2p = 11 + 0.2p + -0.2p Combine like terms: 0.4p + -0.2p = 0.2p 2 + 0.2p = 11 + 0.2p + -0.2p Combine like terms: 0.2p + -0.2p = 0.0 2 + 0.2p = 11 + 0.0 2 + 0.2p = 11 Add '-2' to each side of the equation. 2 + -2 + 0.2p = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 0.2p = 11 + -2 0.2p = 11 + -2 Combine like terms: 11 + -2 = 9 0.2p = 9 Divide each side by '0.2'. p = 45 Simplifying p = 45
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