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Simplifying 3.3q + -3.2 + -5.3q = 3.0q + -5.2 Reorder the terms: -3.2 + 3.3q + -5.3q = 3.0q + -5.2 Combine like terms: 3.3q + -5.3q = -2q -3.2 + -2q = 3.0q + -5.2 Reorder the terms: -3.2 + -2q = -5.2 + 3.0q Solving -3.2 + -2q = -5.2 + 3.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.0q' to each side of the equation. -3.2 + -2q + -3.0q = -5.2 + 3.0q + -3.0q Combine like terms: -2q + -3.0q = -5q -3.2 + -5q = -5.2 + 3.0q + -3.0q Combine like terms: 3.0q + -3.0q = 0.0 -3.2 + -5q = -5.2 + 0.0 -3.2 + -5q = -5.2 Add '3.2' to each side of the equation. -3.2 + 3.2 + -5q = -5.2 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -5q = -5.2 + 3.2 -5q = -5.2 + 3.2 Combine like terms: -5.2 + 3.2 = -2 -5q = -2 Divide each side by '-5'. q = 0.4 Simplifying q = 0.4
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