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Simplifying 3.8q + -5.2 + -4.5q = -1.7q + -3.8 Reorder the terms: -5.2 + 3.8q + -4.5q = -1.7q + -3.8 Combine like terms: 3.8q + -4.5q = -0.7q -5.2 + -0.7q = -1.7q + -3.8 Reorder the terms: -5.2 + -0.7q = -3.8 + -1.7q Solving -5.2 + -0.7q = -3.8 + -1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.7q' to each side of the equation. -5.2 + -0.7q + 1.7q = -3.8 + -1.7q + 1.7q Combine like terms: -0.7q + 1.7q = 1q -5.2 + 1q = -3.8 + -1.7q + 1.7q Combine like terms: -1.7q + 1.7q = 0.0 -5.2 + 1q = -3.8 + 0.0 -5.2 + 1q = -3.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -3.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -3.8 + 5.2 1q = -3.8 + 5.2 Combine like terms: -3.8 + 5.2 = 1.4 1q = 1.4 Divide each side by '1'. q = 1.4 Simplifying q = 1.4
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