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Simplifying 1.9q + -4.7 + -5.5q = -4.6q + -4.1 Reorder the terms: -4.7 + 1.9q + -5.5q = -4.6q + -4.1 Combine like terms: 1.9q + -5.5q = -3.6q -4.7 + -3.6q = -4.6q + -4.1 Reorder the terms: -4.7 + -3.6q = -4.1 + -4.6q Solving -4.7 + -3.6q = -4.1 + -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. -4.7 + -3.6q + 4.6q = -4.1 + -4.6q + 4.6q Combine like terms: -3.6q + 4.6q = 1q -4.7 + 1q = -4.1 + -4.6q + 4.6q Combine like terms: -4.6q + 4.6q = 0.0 -4.7 + 1q = -4.1 + 0.0 -4.7 + 1q = -4.1 Add '4.7' to each side of the equation. -4.7 + 4.7 + 1q = -4.1 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1q = -4.1 + 4.7 1q = -4.1 + 4.7 Combine like terms: -4.1 + 4.7 = 0.6 1q = 0.6 Divide each side by '1'. q = 0.6 Simplifying q = 0.6
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