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Simplifying 5.2q + -4.6 + -7.1q = -0.9q + -4.6q Reorder the terms: -4.6 + 5.2q + -7.1q = -0.9q + -4.6q Combine like terms: 5.2q + -7.1q = -1.9q -4.6 + -1.9q = -0.9q + -4.6q Combine like terms: -0.9q + -4.6q = -5.5q -4.6 + -1.9q = -5.5q Solving -4.6 + -1.9q = -5.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.5q' to each side of the equation. -4.6 + -1.9q + 5.5q = -5.5q + 5.5q Combine like terms: -1.9q + 5.5q = 3.6q -4.6 + 3.6q = -5.5q + 5.5q Combine like terms: -5.5q + 5.5q = 0.0 -4.6 + 3.6q = 0.0 Add '4.6' to each side of the equation. -4.6 + 4.6 + 3.6q = 0.0 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 3.6q = 0.0 + 4.6 3.6q = 0.0 + 4.6 Combine like terms: 0.0 + 4.6 = 4.6 3.6q = 4.6 Divide each side by '3.6'. q = 1.277777778 Simplifying q = 1.277777778
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