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Simplifying 5.7q + -2.3 + -5.5q = -0.8 + -2q Reorder the terms: -2.3 + 5.7q + -5.5q = -0.8 + -2q Combine like terms: 5.7q + -5.5q = 0.2q -2.3 + 0.2q = -0.8 + -2q Solving -2.3 + 0.2q = -0.8 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -2.3 + 0.2q + 2q = -0.8 + -2q + 2q Combine like terms: 0.2q + 2q = 2.2q -2.3 + 2.2q = -0.8 + -2q + 2q Combine like terms: -2q + 2q = 0 -2.3 + 2.2q = -0.8 + 0 -2.3 + 2.2q = -0.8 Add '2.3' to each side of the equation. -2.3 + 2.3 + 2.2q = -0.8 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 2.2q = -0.8 + 2.3 2.2q = -0.8 + 2.3 Combine like terms: -0.8 + 2.3 = 1.5 2.2q = 1.5 Divide each side by '2.2'. q = 0.6818181818 Simplifying q = 0.6818181818
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