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Simplifying 5.7q + -3.8 + -5.3q = -0.6q + -2.6 Reorder the terms: -3.8 + 5.7q + -5.3q = -0.6q + -2.6 Combine like terms: 5.7q + -5.3q = 0.4q -3.8 + 0.4q = -0.6q + -2.6 Reorder the terms: -3.8 + 0.4q = -2.6 + -0.6q Solving -3.8 + 0.4q = -2.6 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -3.8 + 0.4q + 0.6q = -2.6 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -3.8 + 1q = -2.6 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -3.8 + 1q = -2.6 + 0.0 -3.8 + 1q = -2.6 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -2.6 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -2.6 + 3.8 1q = -2.6 + 3.8 Combine like terms: -2.6 + 3.8 = 1.2 1q = 1.2 Divide each side by '1'. q = 1.2 Simplifying q = 1.2
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