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Simplifying 5.7q + -3.7 + -4.9 = 0.2q + -4.8 Reorder the terms: -3.7 + -4.9 + 5.7q = 0.2q + -4.8 Combine like terms: -3.7 + -4.9 = -8.6 -8.6 + 5.7q = 0.2q + -4.8 Reorder the terms: -8.6 + 5.7q = -4.8 + 0.2q Solving -8.6 + 5.7q = -4.8 + 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. -8.6 + 5.7q + -0.2q = -4.8 + 0.2q + -0.2q Combine like terms: 5.7q + -0.2q = 5.5q -8.6 + 5.5q = -4.8 + 0.2q + -0.2q Combine like terms: 0.2q + -0.2q = 0.0 -8.6 + 5.5q = -4.8 + 0.0 -8.6 + 5.5q = -4.8 Add '8.6' to each side of the equation. -8.6 + 8.6 + 5.5q = -4.8 + 8.6 Combine like terms: -8.6 + 8.6 = 0.0 0.0 + 5.5q = -4.8 + 8.6 5.5q = -4.8 + 8.6 Combine like terms: -4.8 + 8.6 = 3.8 5.5q = 3.8 Divide each side by '5.5'. q = 0.6909090909 Simplifying q = 0.6909090909
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