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Simplifying 5.5q + -1.3 + -5.4q = 0.9q + -2.6 Reorder the terms: -1.3 + 5.5q + -5.4q = 0.9q + -2.6 Combine like terms: 5.5q + -5.4q = 0.1q -1.3 + 0.1q = 0.9q + -2.6 Reorder the terms: -1.3 + 0.1q = -2.6 + 0.9q Solving -1.3 + 0.1q = -2.6 + 0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.9q' to each side of the equation. -1.3 + 0.1q + -0.9q = -2.6 + 0.9q + -0.9q Combine like terms: 0.1q + -0.9q = -0.8q -1.3 + -0.8q = -2.6 + 0.9q + -0.9q Combine like terms: 0.9q + -0.9q = 0.0 -1.3 + -0.8q = -2.6 + 0.0 -1.3 + -0.8q = -2.6 Add '1.3' to each side of the equation. -1.3 + 1.3 + -0.8q = -2.6 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -0.8q = -2.6 + 1.3 -0.8q = -2.6 + 1.3 Combine like terms: -2.6 + 1.3 = -1.3 -0.8q = -1.3 Divide each side by '-0.8'. q = 1.625 Simplifying q = 1.625
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