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Simplifying 4.5q + -1.5 + -3.9q = -0.4q + -3.2 Reorder the terms: -1.5 + 4.5q + -3.9q = -0.4q + -3.2 Combine like terms: 4.5q + -3.9q = 0.6q -1.5 + 0.6q = -0.4q + -3.2 Reorder the terms: -1.5 + 0.6q = -3.2 + -0.4q Solving -1.5 + 0.6q = -3.2 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -1.5 + 0.6q + 0.4q = -3.2 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -1.5 + 1q = -3.2 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -1.5 + 1q = -3.2 + 0.0 -1.5 + 1q = -3.2 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1q = -3.2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1q = -3.2 + 1.5 1q = -3.2 + 1.5 Combine like terms: -3.2 + 1.5 = -1.7 1q = -1.7 Divide each side by '1'. q = -1.7 Simplifying q = -1.7
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