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Simplifying 4.7q + -3.1 + -4.1 = -0.4q + -5.4 Reorder the terms: -3.1 + -4.1 + 4.7q = -0.4q + -5.4 Combine like terms: -3.1 + -4.1 = -7.2 -7.2 + 4.7q = -0.4q + -5.4 Reorder the terms: -7.2 + 4.7q = -5.4 + -0.4q Solving -7.2 + 4.7q = -5.4 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -7.2 + 4.7q + 0.4q = -5.4 + -0.4q + 0.4q Combine like terms: 4.7q + 0.4q = 5.1q -7.2 + 5.1q = -5.4 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -7.2 + 5.1q = -5.4 + 0.0 -7.2 + 5.1q = -5.4 Add '7.2' to each side of the equation. -7.2 + 7.2 + 5.1q = -5.4 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 5.1q = -5.4 + 7.2 5.1q = -5.4 + 7.2 Combine like terms: -5.4 + 7.2 = 1.8 5.1q = 1.8 Divide each side by '5.1'. q = 0.3529411765 Simplifying q = 0.3529411765
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