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Simplifying 4.9q + -5.2 + -4.3q = -0.4q + -1.8 Reorder the terms: -5.2 + 4.9q + -4.3q = -0.4q + -1.8 Combine like terms: 4.9q + -4.3q = 0.6q -5.2 + 0.6q = -0.4q + -1.8 Reorder the terms: -5.2 + 0.6q = -1.8 + -0.4q Solving -5.2 + 0.6q = -1.8 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -5.2 + 0.6q + 0.4q = -1.8 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -5.2 + 1q = -1.8 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -5.2 + 1q = -1.8 + 0.0 -5.2 + 1q = -1.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -1.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -1.8 + 5.2 1q = -1.8 + 5.2 Combine like terms: -1.8 + 5.2 = 3.4 1q = 3.4 Divide each side by '1'. q = 3.4 Simplifying q = 3.4
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