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Simplifying 1.9q + -3.1 + -2.7q = 1.8q + -5.5 Reorder the terms: -3.1 + 1.9q + -2.7q = 1.8q + -5.5 Combine like terms: 1.9q + -2.7q = -0.8q -3.1 + -0.8q = 1.8q + -5.5 Reorder the terms: -3.1 + -0.8q = -5.5 + 1.8q Solving -3.1 + -0.8q = -5.5 + 1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.8q' to each side of the equation. -3.1 + -0.8q + -1.8q = -5.5 + 1.8q + -1.8q Combine like terms: -0.8q + -1.8q = -2.6q -3.1 + -2.6q = -5.5 + 1.8q + -1.8q Combine like terms: 1.8q + -1.8q = 0.0 -3.1 + -2.6q = -5.5 + 0.0 -3.1 + -2.6q = -5.5 Add '3.1' to each side of the equation. -3.1 + 3.1 + -2.6q = -5.5 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -2.6q = -5.5 + 3.1 -2.6q = -5.5 + 3.1 Combine like terms: -5.5 + 3.1 = -2.4 -2.6q = -2.4 Divide each side by '-2.6'. q = 0.9230769231 Simplifying q = 0.9230769231
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