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Simplifying 4.2q + -3.3 + -5.2q = 2.0q + -3.9 Reorder the terms: -3.3 + 4.2q + -5.2q = 2.0q + -3.9 Combine like terms: 4.2q + -5.2q = -1q -3.3 + -1q = 2.0q + -3.9 Reorder the terms: -3.3 + -1q = -3.9 + 2.0q Solving -3.3 + -1q = -3.9 + 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. -3.3 + -1q + -2.0q = -3.9 + 2.0q + -2.0q Combine like terms: -1q + -2.0q = -3q -3.3 + -3q = -3.9 + 2.0q + -2.0q Combine like terms: 2.0q + -2.0q = 0.0 -3.3 + -3q = -3.9 + 0.0 -3.3 + -3q = -3.9 Add '3.3' to each side of the equation. -3.3 + 3.3 + -3q = -3.9 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + -3q = -3.9 + 3.3 -3q = -3.9 + 3.3 Combine like terms: -3.9 + 3.3 = -0.6 -3q = -0.6 Divide each side by '-3'. q = 0.2 Simplifying q = 0.2
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