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Simplifying 5.7q + -1.1 + -5.6q = -0.9q + -3.7 Reorder the terms: -1.1 + 5.7q + -5.6q = -0.9q + -3.7 Combine like terms: 5.7q + -5.6q = 0.1q -1.1 + 0.1q = -0.9q + -3.7 Reorder the terms: -1.1 + 0.1q = -3.7 + -0.9q Solving -1.1 + 0.1q = -3.7 + -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. -1.1 + 0.1q + 0.9q = -3.7 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -1.1 + 1q = -3.7 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -1.1 + 1q = -3.7 + 0.0 -1.1 + 1q = -3.7 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1q = -3.7 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1q = -3.7 + 1.1 1q = -3.7 + 1.1 Combine like terms: -3.7 + 1.1 = -2.6 1q = -2.6 Divide each side by '1'. q = -2.6 Simplifying q = -2.6
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