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Simplifying 2p + 1 = 0.4p + 9 Reorder the terms: 1 + 2p = 0.4p + 9 Reorder the terms: 1 + 2p = 9 + 0.4p Solving 1 + 2p = 9 + 0.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.4p' to each side of the equation. 1 + 2p + -0.4p = 9 + 0.4p + -0.4p Combine like terms: 2p + -0.4p = 1.6p 1 + 1.6p = 9 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 1 + 1.6p = 9 + 0.0 1 + 1.6p = 9 Add '-1' to each side of the equation. 1 + -1 + 1.6p = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1.6p = 9 + -1 1.6p = 9 + -1 Combine like terms: 9 + -1 = 8 1.6p = 8 Divide each side by '1.6'. p = 5 Simplifying p = 5
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