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Simplifying 1.1q + -5.5 + -0.3q = 0.2 + -2.6 Reorder the terms: -5.5 + 1.1q + -0.3q = 0.2 + -2.6 Combine like terms: 1.1q + -0.3q = 0.8q -5.5 + 0.8q = 0.2 + -2.6 Combine like terms: 0.2 + -2.6 = -2.4 -5.5 + 0.8q = -2.4 Solving -5.5 + 0.8q = -2.4 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + 0.8q = -2.4 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 0.8q = -2.4 + 5.5 0.8q = -2.4 + 5.5 Combine like terms: -2.4 + 5.5 = 3.1 0.8q = 3.1 Divide each side by '0.8'. q = 3.875 Simplifying q = 3.875
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