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Simplifying 1.1q + -5.5 + -0.3q = 0.2q + -2.6 Reorder the terms: -5.5 + 1.1q + -0.3q = 0.2q + -2.6 Combine like terms: 1.1q + -0.3q = 0.8q -5.5 + 0.8q = 0.2q + -2.6 Reorder the terms: -5.5 + 0.8q = -2.6 + 0.2q Solving -5.5 + 0.8q = -2.6 + 0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.2q' to each side of the equation. -5.5 + 0.8q + -0.2q = -2.6 + 0.2q + -0.2q Combine like terms: 0.8q + -0.2q = 0.6q -5.5 + 0.6q = -2.6 + 0.2q + -0.2q Combine like terms: 0.2q + -0.2q = 0.0 -5.5 + 0.6q = -2.6 + 0.0 -5.5 + 0.6q = -2.6 Add '5.5' to each side of the equation. -5.5 + 5.5 + 0.6q = -2.6 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 0.6q = -2.6 + 5.5 0.6q = -2.6 + 5.5 Combine like terms: -2.6 + 5.5 = 2.9 0.6q = 2.9 Divide each side by '0.6'. q = 4.833333333 Simplifying q = 4.833333333
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