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Simplifying 1.3q + -9.2q + 1.3 = -38.2 Reorder the terms: 1.3 + 1.3q + -9.2q = -38.2 Combine like terms: 1.3q + -9.2q = -7.9q 1.3 + -7.9q = -38.2 Solving 1.3 + -7.9q = -38.2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + -7.9q = -38.2 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -7.9q = -38.2 + -1.3 -7.9q = -38.2 + -1.3 Combine like terms: -38.2 + -1.3 = -39.5 -7.9q = -39.5 Divide each side by '-7.9'. q = 5 Simplifying q = 5
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