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Simplifying 0.2p + -0.2q + 1.0q = 0.4p Combine like terms: -0.2q + 1.0q = 0.8q 0.2p + 0.8q = 0.4p Solving 0.2p + 0.8q = 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. 0.2p + -0.4p + 0.8q = 0.4p + -0.4p Combine like terms: 0.2p + -0.4p = -0.2p -0.2p + 0.8q = 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 -0.2p + 0.8q = 0.0 Add '-0.8q' to each side of the equation. -0.2p + 0.8q + -0.8q = 0.0 + -0.8q Combine like terms: 0.8q + -0.8q = 0.0 -0.2p + 0.0 = 0.0 + -0.8q -0.2p = 0.0 + -0.8q Remove the zero: -0.2p = -0.8q Divide each side by '-0.2'. p = 4q Simplifying p = 4q
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