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Simplifying 5.7q + -2.4 + -5.6q = 0.9q + -2.4 Reorder the terms: -2.4 + 5.7q + -5.6q = 0.9q + -2.4 Combine like terms: 5.7q + -5.6q = 0.1q -2.4 + 0.1q = 0.9q + -2.4 Reorder the terms: -2.4 + 0.1q = -2.4 + 0.9q Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.1q = -2.4 + 2.4 + 0.9q Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.1q = -2.4 + 2.4 + 0.9q 0.1q = -2.4 + 2.4 + 0.9q Combine like terms: -2.4 + 2.4 = 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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