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Simplifying 0.4q + 3.2 = 7.6 + -0.7q Reorder the terms: 3.2 + 0.4q = 7.6 + -0.7q Solving 3.2 + 0.4q = 7.6 + -0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7q' to each side of the equation. 3.2 + 0.4q + 0.7q = 7.6 + -0.7q + 0.7q Combine like terms: 0.4q + 0.7q = 1.1q 3.2 + 1.1q = 7.6 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 3.2 + 1.1q = 7.6 + 0.0 3.2 + 1.1q = 7.6 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 1.1q = 7.6 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 1.1q = 7.6 + -3.2 1.1q = 7.6 + -3.2 Combine like terms: 7.6 + -3.2 = 4.4 1.1q = 4.4 Divide each side by '1.1'. q = 4 Simplifying q = 4
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