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Simplifying 5.7q + -5.8 + -4.9q = -0.2q + -5.5 Reorder the terms: -5.8 + 5.7q + -4.9q = -0.2q + -5.5 Combine like terms: 5.7q + -4.9q = 0.8q -5.8 + 0.8q = -0.2q + -5.5 Reorder the terms: -5.8 + 0.8q = -5.5 + -0.2q Solving -5.8 + 0.8q = -5.5 + -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. -5.8 + 0.8q + 0.2q = -5.5 + -0.2q + 0.2q Combine like terms: 0.8q + 0.2q = 1q -5.8 + 1q = -5.5 + -0.2q + 0.2q Combine like terms: -0.2q + 0.2q = 0.0 -5.8 + 1q = -5.5 + 0.0 -5.8 + 1q = -5.5 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -5.5 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -5.5 + 5.8 1q = -5.5 + 5.8 Combine like terms: -5.5 + 5.8 = 0.3 1q = 0.3 Divide each side by '1'. q = 0.3 Simplifying q = 0.3
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