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Simplifying 10.2q + 11.34 = 11.9q + 15.08 Reorder the terms: 11.34 + 10.2q = 11.9q + 15.08 Reorder the terms: 11.34 + 10.2q = 15.08 + 11.9q Solving 11.34 + 10.2q = 15.08 + 11.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11.9q' to each side of the equation. 11.34 + 10.2q + -11.9q = 15.08 + 11.9q + -11.9q Combine like terms: 10.2q + -11.9q = -1.7q 11.34 + -1.7q = 15.08 + 11.9q + -11.9q Combine like terms: 11.9q + -11.9q = 0.0 11.34 + -1.7q = 15.08 + 0.0 11.34 + -1.7q = 15.08 Add '-11.34' to each side of the equation. 11.34 + -11.34 + -1.7q = 15.08 + -11.34 Combine like terms: 11.34 + -11.34 = 0.00 0.00 + -1.7q = 15.08 + -11.34 -1.7q = 15.08 + -11.34 Combine like terms: 15.08 + -11.34 = 3.74 -1.7q = 3.74 Divide each side by '-1.7'. q = -2.2 Simplifying q = -2.2
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