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Simplifying 5.7q + -1.3 + -5.6q = -0.9q + -3.4 Reorder the terms: -1.3 + 5.7q + -5.6q = -0.9q + -3.4 Combine like terms: 5.7q + -5.6q = 0.1q -1.3 + 0.1q = -0.9q + -3.4 Reorder the terms: -1.3 + 0.1q = -3.4 + -0.9q Solving -1.3 + 0.1q = -3.4 + -0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.9q' to each side of the equation. -1.3 + 0.1q + 0.9q = -3.4 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -1.3 + 1q = -3.4 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -1.3 + 1q = -3.4 + 0.0 -1.3 + 1q = -3.4 Add '1.3' to each side of the equation. -1.3 + 1.3 + 1q = -3.4 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 1q = -3.4 + 1.3 1q = -3.4 + 1.3 Combine like terms: -3.4 + 1.3 = -2.1 1q = -2.1 Divide each side by '1'. q = -2.1 Simplifying q = -2.1
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