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Simplifying -10.9q + 1.6 = -81.2 + -1.7q Reorder the terms: 1.6 + -10.9q = -81.2 + -1.7q Solving 1.6 + -10.9q = -81.2 + -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. 1.6 + -10.9q + 1.7q = -81.2 + -1.7q + 1.7q Combine like terms: -10.9q + 1.7q = -9.2q 1.6 + -9.2q = -81.2 + -1.7q + 1.7q Combine like terms: -1.7q + 1.7q = 0.0 1.6 + -9.2q = -81.2 + 0.0 1.6 + -9.2q = -81.2 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -9.2q = -81.2 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -9.2q = -81.2 + -1.6 -9.2q = -81.2 + -1.6 Combine like terms: -81.2 + -1.6 = -82.8 -9.2q = -82.8 Divide each side by '-9.2'. q = 9 Simplifying q = 9
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