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Simplifying 4.6q + -2.4 + -3.7q = -0.1q + -5.8 Reorder the terms: -2.4 + 4.6q + -3.7q = -0.1q + -5.8 Combine like terms: 4.6q + -3.7q = 0.9q -2.4 + 0.9q = -0.1q + -5.8 Reorder the terms: -2.4 + 0.9q = -5.8 + -0.1q Solving -2.4 + 0.9q = -5.8 + -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -2.4 + 0.9q + 0.1q = -5.8 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -2.4 + 1q = -5.8 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -2.4 + 1q = -5.8 + 0.0 -2.4 + 1q = -5.8 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1q = -5.8 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1q = -5.8 + 2.4 1q = -5.8 + 2.4 Combine like terms: -5.8 + 2.4 = -3.4 1q = -3.4 Divide each side by '1'. q = -3.4 Simplifying q = -3.4
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