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Simplifying 1.4q + -4.1 + -4.9q = -4.5q + -5.6 Reorder the terms: -4.1 + 1.4q + -4.9q = -4.5q + -5.6 Combine like terms: 1.4q + -4.9q = -3.5q -4.1 + -3.5q = -4.5q + -5.6 Reorder the terms: -4.1 + -3.5q = -5.6 + -4.5q Solving -4.1 + -3.5q = -5.6 + -4.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.5q' to each side of the equation. -4.1 + -3.5q + 4.5q = -5.6 + -4.5q + 4.5q Combine like terms: -3.5q + 4.5q = 1q -4.1 + 1q = -5.6 + -4.5q + 4.5q Combine like terms: -4.5q + 4.5q = 0.0 -4.1 + 1q = -5.6 + 0.0 -4.1 + 1q = -5.6 Add '4.1' to each side of the equation. -4.1 + 4.1 + 1q = -5.6 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 1q = -5.6 + 4.1 1q = -5.6 + 4.1 Combine like terms: -5.6 + 4.1 = -1.5 1q = -1.5 Divide each side by '1'. q = -1.5 Simplifying q = -1.5
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