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Simplifying 1.1q + -5.2 + -3.8q = -3.7q + -3.9 Reorder the terms: -5.2 + 1.1q + -3.8q = -3.7q + -3.9 Combine like terms: 1.1q + -3.8q = -2.7q -5.2 + -2.7q = -3.7q + -3.9 Reorder the terms: -5.2 + -2.7q = -3.9 + -3.7q Solving -5.2 + -2.7q = -3.9 + -3.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.7q' to each side of the equation. -5.2 + -2.7q + 3.7q = -3.9 + -3.7q + 3.7q Combine like terms: -2.7q + 3.7q = 1q -5.2 + 1q = -3.9 + -3.7q + 3.7q Combine like terms: -3.7q + 3.7q = 0.0 -5.2 + 1q = -3.9 + 0.0 -5.2 + 1q = -3.9 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -3.9 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -3.9 + 5.2 1q = -3.9 + 5.2 Combine like terms: -3.9 + 5.2 = 1.3 1q = 1.3 Divide each side by '1'. q = 1.3 Simplifying q = 1.3
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