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Simplifying 4.5q + -2.8 + -5.4 = 1.9q + -4.3 Reorder the terms: -2.8 + -5.4 + 4.5q = 1.9q + -4.3 Combine like terms: -2.8 + -5.4 = -8.2 -8.2 + 4.5q = 1.9q + -4.3 Reorder the terms: -8.2 + 4.5q = -4.3 + 1.9q Solving -8.2 + 4.5q = -4.3 + 1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.9q' to each side of the equation. -8.2 + 4.5q + -1.9q = -4.3 + 1.9q + -1.9q Combine like terms: 4.5q + -1.9q = 2.6q -8.2 + 2.6q = -4.3 + 1.9q + -1.9q Combine like terms: 1.9q + -1.9q = 0.0 -8.2 + 2.6q = -4.3 + 0.0 -8.2 + 2.6q = -4.3 Add '8.2' to each side of the equation. -8.2 + 8.2 + 2.6q = -4.3 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + 2.6q = -4.3 + 8.2 2.6q = -4.3 + 8.2 Combine like terms: -4.3 + 8.2 = 3.9 2.6q = 3.9 Divide each side by '2.6'. q = 1.5 Simplifying q = 1.5
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