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Simplifying 4.2q + -5.4 + -3.7q = -0.5q + -2.2 Reorder the terms: -5.4 + 4.2q + -3.7q = -0.5q + -2.2 Combine like terms: 4.2q + -3.7q = 0.5q -5.4 + 0.5q = -0.5q + -2.2 Reorder the terms: -5.4 + 0.5q = -2.2 + -0.5q Solving -5.4 + 0.5q = -2.2 + -0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.5q' to each side of the equation. -5.4 + 0.5q + 0.5q = -2.2 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -5.4 + 1q = -2.2 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -5.4 + 1q = -2.2 + 0.0 -5.4 + 1q = -2.2 Add '5.4' to each side of the equation. -5.4 + 5.4 + 1q = -2.2 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 1q = -2.2 + 5.4 1q = -2.2 + 5.4 Combine like terms: -2.2 + 5.4 = 3.2 1q = 3.2 Divide each side by '1'. q = 3.2 Simplifying q = 3.2
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