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Simplifying 1.7q + -3.8 + -1.1q = -0.4q + -5.3 Reorder the terms: -3.8 + 1.7q + -1.1q = -0.4q + -5.3 Combine like terms: 1.7q + -1.1q = 0.6q -3.8 + 0.6q = -0.4q + -5.3 Reorder the terms: -3.8 + 0.6q = -5.3 + -0.4q Solving -3.8 + 0.6q = -5.3 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -3.8 + 0.6q + 0.4q = -5.3 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -3.8 + 1q = -5.3 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -3.8 + 1q = -5.3 + 0.0 -3.8 + 1q = -5.3 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -5.3 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -5.3 + 3.8 1q = -5.3 + 3.8 Combine like terms: -5.3 + 3.8 = -1.5 1q = -1.5 Divide each side by '1'. q = -1.5 Simplifying q = -1.5
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