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Simplifying -2.3q + 16 = v + -5q + -38 Reorder the terms: 16 + -2.3q = v + -5q + -38 Reorder the terms: 16 + -2.3q = -38 + -5q + v Solving 16 + -2.3q = -38 + -5q + v Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 16 + -2.3q + 5q = -38 + -5q + 5q + v Combine like terms: -2.3q + 5q = 2.7q 16 + 2.7q = -38 + -5q + 5q + v Combine like terms: -5q + 5q = 0 16 + 2.7q = -38 + 0 + v 16 + 2.7q = -38 + v Add '-16' to each side of the equation. 16 + -16 + 2.7q = -38 + -16 + v Combine like terms: 16 + -16 = 0 0 + 2.7q = -38 + -16 + v 2.7q = -38 + -16 + v Combine like terms: -38 + -16 = -54 2.7q = -54 + v Divide each side by '2.7'. q = -20 + 0.3703703704v Simplifying q = -20 + 0.3703703704v
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