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Simplifying 4.6q + -3.1 + -5.7q = -0.1q + -3.1 Reorder the terms: -3.1 + 4.6q + -5.7q = -0.1q + -3.1 Combine like terms: 4.6q + -5.7q = -1.1q -3.1 + -1.1q = -0.1q + -3.1 Reorder the terms: -3.1 + -1.1q = -3.1 + -0.1q Add '3.1' to each side of the equation. -3.1 + 3.1 + -1.1q = -3.1 + 3.1 + -0.1q Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -1.1q = -3.1 + 3.1 + -0.1q -1.1q = -3.1 + 3.1 + -0.1q Combine like terms: -3.1 + 3.1 = 0.0 -1.1q = 0.0 + -0.1q -1.1q = -0.1q Solving -1.1q = -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -1.1q + 0.1q = -0.1q + 0.1q Combine like terms: -1.1q + 0.1q = -1q -1q = -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -1q = 0.0 Divide each side by '-1'. q = 0.0 Simplifying q = 0.0
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