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Simplifying 0.4q + -0.4 = 0.8 + 0.2q Reorder the terms: -0.4 + 0.4q = 0.8 + 0.2q Solving -0.4 + 0.4q = 0.8 + 0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.2q' to each side of the equation. -0.4 + 0.4q + -0.2q = 0.8 + 0.2q + -0.2q Combine like terms: 0.4q + -0.2q = 0.2q -0.4 + 0.2q = 0.8 + 0.2q + -0.2q Combine like terms: 0.2q + -0.2q = 0.0 -0.4 + 0.2q = 0.8 + 0.0 -0.4 + 0.2q = 0.8 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.2q = 0.8 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.2q = 0.8 + 0.4 0.2q = 0.8 + 0.4 Combine like terms: 0.8 + 0.4 = 1.2 0.2q = 1.2 Divide each side by '0.2'. q = 6 Simplifying q = 6
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