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Simplifying 2.7q + -3.8 + -3.2q = -1.5q + -1.2 Reorder the terms: -3.8 + 2.7q + -3.2q = -1.5q + -1.2 Combine like terms: 2.7q + -3.2q = -0.5q -3.8 + -0.5q = -1.5q + -1.2 Reorder the terms: -3.8 + -0.5q = -1.2 + -1.5q Solving -3.8 + -0.5q = -1.2 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. -3.8 + -0.5q + 1.5q = -1.2 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -3.8 + 1q = -1.2 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -3.8 + 1q = -1.2 + 0.0 -3.8 + 1q = -1.2 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -1.2 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -1.2 + 3.8 1q = -1.2 + 3.8 Combine like terms: -1.2 + 3.8 = 2.6 1q = 2.6 Divide each side by '1'. q = 2.6 Simplifying q = 2.6
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