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Simplifying 0.1p + -0.2p + 2 = 4.6 Reorder the terms: 2 + 0.1p + -0.2p = 4.6 Combine like terms: 0.1p + -0.2p = -0.1p 2 + -0.1p = 4.6 Solving 2 + -0.1p = 4.6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.1p = 4.6 + -2 Combine like terms: 2 + -2 = 0 0 + -0.1p = 4.6 + -2 -0.1p = 4.6 + -2 Combine like terms: 4.6 + -2 = 2.6 -0.1p = 2.6 Divide each side by '-0.1'. p = -26 Simplifying p = -26
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