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Simplifying 3.9q + -1.3 + -4.6q = -1.7q + -1.8 Reorder the terms: -1.3 + 3.9q + -4.6q = -1.7q + -1.8 Combine like terms: 3.9q + -4.6q = -0.7q -1.3 + -0.7q = -1.7q + -1.8 Reorder the terms: -1.3 + -0.7q = -1.8 + -1.7q Solving -1.3 + -0.7q = -1.8 + -1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.7q' to each side of the equation. -1.3 + -0.7q + 1.7q = -1.8 + -1.7q + 1.7q Combine like terms: -0.7q + 1.7q = 1q -1.3 + 1q = -1.8 + -1.7q + 1.7q Combine like terms: -1.7q + 1.7q = 0.0 -1.3 + 1q = -1.8 + 0.0 -1.3 + 1q = -1.8 Add '1.3' to each side of the equation. -1.3 + 1.3 + 1q = -1.8 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 1q = -1.8 + 1.3 1q = -1.8 + 1.3 Combine like terms: -1.8 + 1.3 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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