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Simplifying 1.8q + -1.3 + -3.8q = 3.0q + -2.1 Reorder the terms: -1.3 + 1.8q + -3.8q = 3.0q + -2.1 Combine like terms: 1.8q + -3.8q = -2q -1.3 + -2q = 3.0q + -2.1 Reorder the terms: -1.3 + -2q = -2.1 + 3.0q Solving -1.3 + -2q = -2.1 + 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. -1.3 + -2q + -3.0q = -2.1 + 3.0q + -3.0q Combine like terms: -2q + -3.0q = -5q -1.3 + -5q = -2.1 + 3.0q + -3.0q Combine like terms: 3.0q + -3.0q = 0.0 -1.3 + -5q = -2.1 + 0.0 -1.3 + -5q = -2.1 Add '1.3' to each side of the equation. -1.3 + 1.3 + -5q = -2.1 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -5q = -2.1 + 1.3 -5q = -2.1 + 1.3 Combine like terms: -2.1 + 1.3 = -0.8 -5q = -0.8 Divide each side by '-5'. q = 0.16 Simplifying q = 0.16
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