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Simplifying 5.8q + -3.4 + -5.2q = -0.4q + -2.3 Reorder the terms: -3.4 + 5.8q + -5.2q = -0.4q + -2.3 Combine like terms: 5.8q + -5.2q = 0.6q -3.4 + 0.6q = -0.4q + -2.3 Reorder the terms: -3.4 + 0.6q = -2.3 + -0.4q Solving -3.4 + 0.6q = -2.3 + -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. -3.4 + 0.6q + 0.4q = -2.3 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -3.4 + 1q = -2.3 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -3.4 + 1q = -2.3 + 0.0 -3.4 + 1q = -2.3 Add '3.4' to each side of the equation. -3.4 + 3.4 + 1q = -2.3 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 1q = -2.3 + 3.4 1q = -2.3 + 3.4 Combine like terms: -2.3 + 3.4 = 1.1 1q = 1.1 Divide each side by '1'. q = 1.1 Simplifying q = 1.1
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