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Simplifying 5.8q + -3.2 + -5.7q = 0.9q + -3.2 Reorder the terms: -3.2 + 5.8q + -5.7q = 0.9q + -3.2 Combine like terms: 5.8q + -5.7q = 0.1q -3.2 + 0.1q = 0.9q + -3.2 Reorder the terms: -3.2 + 0.1q = -3.2 + 0.9q Add '3.2' to each side of the equation. -3.2 + 3.2 + 0.1q = -3.2 + 3.2 + 0.9q Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 0.1q = -3.2 + 3.2 + 0.9q 0.1q = -3.2 + 3.2 + 0.9q Combine like terms: -3.2 + 3.2 = 0.0 0.1q = 0.0 + 0.9q 0.1q = 0.9q Solving 0.1q = 0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.9q' to each side of the equation. 0.1q + -0.9q = 0.9q + -0.9q Combine like terms: 0.1q + -0.9q = -0.8q -0.8q = 0.9q + -0.9q Combine like terms: 0.9q + -0.9q = 0.0 -0.8q = 0.0 Divide each side by '-0.8'. q = 0 Simplifying q = 0
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