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Simplifying 3.7q + -2.7 + -3.1q = -0.4q + -5.8 Reorder the terms: -2.7 + 3.7q + -3.1q = -0.4q + -5.8 Combine like terms: 3.7q + -3.1q = 0.6q -2.7 + 0.6q = -0.4q + -5.8 Reorder the terms: -2.7 + 0.6q = -5.8 + -0.4q Solving -2.7 + 0.6q = -5.8 + -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. -2.7 + 0.6q + 0.4q = -5.8 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -2.7 + 1q = -5.8 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -2.7 + 1q = -5.8 + 0.0 -2.7 + 1q = -5.8 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1q = -5.8 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1q = -5.8 + 2.7 1q = -5.8 + 2.7 Combine like terms: -5.8 + 2.7 = -3.1 1q = -3.1 Divide each side by '1'. q = -3.1 Simplifying q = -3.1
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