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Simplifying 1.9q + -3.8 + -4.1q = 3.2q + -4.6 Reorder the terms: -3.8 + 1.9q + -4.1q = 3.2q + -4.6 Combine like terms: 1.9q + -4.1q = -2.2q -3.8 + -2.2q = 3.2q + -4.6 Reorder the terms: -3.8 + -2.2q = -4.6 + 3.2q Solving -3.8 + -2.2q = -4.6 + 3.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.2q' to each side of the equation. -3.8 + -2.2q + -3.2q = -4.6 + 3.2q + -3.2q Combine like terms: -2.2q + -3.2q = -5.4q -3.8 + -5.4q = -4.6 + 3.2q + -3.2q Combine like terms: 3.2q + -3.2q = 0.0 -3.8 + -5.4q = -4.6 + 0.0 -3.8 + -5.4q = -4.6 Add '3.8' to each side of the equation. -3.8 + 3.8 + -5.4q = -4.6 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + -5.4q = -4.6 + 3.8 -5.4q = -4.6 + 3.8 Combine like terms: -4.6 + 3.8 = -0.8 -5.4q = -0.8 Divide each side by '-5.4'. q = 0.1481481481 Simplifying q = 0.1481481481
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