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Simplifying 1.9q + -5.3 + -5.5q = -4.6q + -5.5 Reorder the terms: -5.3 + 1.9q + -5.5q = -4.6q + -5.5 Combine like terms: 1.9q + -5.5q = -3.6q -5.3 + -3.6q = -4.6q + -5.5 Reorder the terms: -5.3 + -3.6q = -5.5 + -4.6q Solving -5.3 + -3.6q = -5.5 + -4.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.6q' to each side of the equation. -5.3 + -3.6q + 4.6q = -5.5 + -4.6q + 4.6q Combine like terms: -3.6q + 4.6q = 1q -5.3 + 1q = -5.5 + -4.6q + 4.6q Combine like terms: -4.6q + 4.6q = 0.0 -5.3 + 1q = -5.5 + 0.0 -5.3 + 1q = -5.5 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -5.5 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -5.5 + 5.3 1q = -5.5 + 5.3 Combine like terms: -5.5 + 5.3 = -0.2 1q = -0.2 Divide each side by '1'. q = -0.2 Simplifying q = -0.2
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