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Simplifying 1.9q + -5.2 + -4.5q = -3.6q + -1.1 Reorder the terms: -5.2 + 1.9q + -4.5q = -3.6q + -1.1 Combine like terms: 1.9q + -4.5q = -2.6q -5.2 + -2.6q = -3.6q + -1.1 Reorder the terms: -5.2 + -2.6q = -1.1 + -3.6q Solving -5.2 + -2.6q = -1.1 + -3.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.6q' to each side of the equation. -5.2 + -2.6q + 3.6q = -1.1 + -3.6q + 3.6q Combine like terms: -2.6q + 3.6q = 1q -5.2 + 1q = -1.1 + -3.6q + 3.6q Combine like terms: -3.6q + 3.6q = 0.0 -5.2 + 1q = -1.1 + 0.0 -5.2 + 1q = -1.1 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -1.1 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -1.1 + 5.2 1q = -1.1 + 5.2 Combine like terms: -1.1 + 5.2 = 4.1 1q = 4.1 Divide each side by '1'. q = 4.1 Simplifying q = 4.1
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