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Simplifying 5.7q + -5.2 + -5.5q = -0.8q + -4.9 Reorder the terms: -5.2 + 5.7q + -5.5q = -0.8q + -4.9 Combine like terms: 5.7q + -5.5q = 0.2q -5.2 + 0.2q = -0.8q + -4.9 Reorder the terms: -5.2 + 0.2q = -4.9 + -0.8q Solving -5.2 + 0.2q = -4.9 + -0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.8q' to each side of the equation. -5.2 + 0.2q + 0.8q = -4.9 + -0.8q + 0.8q Combine like terms: 0.2q + 0.8q = 1q -5.2 + 1q = -4.9 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -5.2 + 1q = -4.9 + 0.0 -5.2 + 1q = -4.9 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -4.9 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -4.9 + 5.2 1q = -4.9 + 5.2 Combine like terms: -4.9 + 5.2 = 0.3 1q = 0.3 Divide each side by '1'. q = 0.3 Simplifying q = 0.3
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