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Simplifying 5.5q + -1.9 + -4.6q = -0.1q + -5.3 Reorder the terms: -1.9 + 5.5q + -4.6q = -0.1q + -5.3 Combine like terms: 5.5q + -4.6q = 0.9q -1.9 + 0.9q = -0.1q + -5.3 Reorder the terms: -1.9 + 0.9q = -5.3 + -0.1q Solving -1.9 + 0.9q = -5.3 + -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. -1.9 + 0.9q + 0.1q = -5.3 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -1.9 + 1q = -5.3 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -1.9 + 1q = -5.3 + 0.0 -1.9 + 1q = -5.3 Add '1.9' to each side of the equation. -1.9 + 1.9 + 1q = -5.3 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 1q = -5.3 + 1.9 1q = -5.3 + 1.9 Combine like terms: -5.3 + 1.9 = -3.4 1q = -3.4 Divide each side by '1'. q = -3.4 Simplifying q = -3.4
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