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Simplifying -0.4p + 2 = 0.2p + 1 Reorder the terms: 2 + -0.4p = 0.2p + 1 Reorder the terms: 2 + -0.4p = 1 + 0.2p Solving 2 + -0.4p = 1 + 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 = 1 + 0.2p + -0.2p Combine like terms: -0.4p + -0.2p = -0.6p 2 + -0.6p = 1 + 0.2p + -0.2p Combine like terms: 0.2p + -0.2p = 0.0 2 + -0.6p = 1 + 0.0 2 + -0.6p = 1 Add '-2' to each side of the equation. 2 + -2 + -0.6p = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -0.6p = 1 + -2 -0.6p = 1 + -2 Combine like terms: 1 + -2 = -1 -0.6p = -1 Divide each side by '-0.6'. p = 1.666666667 Simplifying p = 1.666666667
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