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Simplifying 3.6q + -5.5 + -4.6q = -2.0q + -3.2 Reorder the terms: -5.5 + 3.6q + -4.6q = -2.0q + -3.2 Combine like terms: 3.6q + -4.6q = -1q -5.5 + -1q = -2.0q + -3.2 Reorder the terms: -5.5 + -1q = -3.2 + -2.0q Solving -5.5 + -1q = -3.2 + -2.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.0q' to each side of the equation. -5.5 + -1q + 2.0q = -3.2 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -5.5 + 1q = -3.2 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -5.5 + 1q = -3.2 + 0.0 -5.5 + 1q = -3.2 Add '5.5' to each side of the equation. -5.5 + 5.5 + 1q = -3.2 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1q = -3.2 + 5.5 1q = -3.2 + 5.5 Combine like terms: -3.2 + 5.5 = 2.3 1q = 2.3 Divide each side by '1'. q = 2.3 Simplifying q = 2.3
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