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Simplifying -8.1q + 1.9 = 40.7 + -1q Reorder the terms: 1.9 + -8.1q = 40.7 + -1q Solving 1.9 + -8.1q = 40.7 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 1.9 + -8.1q + q = 40.7 + -1q + q Combine like terms: -8.1q + q = -7.1q 1.9 + -7.1q = 40.7 + -1q + q Combine like terms: -1q + q = 0 1.9 + -7.1q = 40.7 + 0 1.9 + -7.1q = 40.7 Add '-1.9' to each side of the equation. 1.9 + -1.9 + -7.1q = 40.7 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + -7.1q = 40.7 + -1.9 -7.1q = 40.7 + -1.9 Combine like terms: 40.7 + -1.9 = 38.8 -7.1q = 38.8 Divide each side by '-7.1'. q = -5.464788732 Simplifying q = -5.464788732
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