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Simplifying -8.2q + 1.6 = 69.4 + -1.1q Reorder the terms: 1.6 + -8.2q = 69.4 + -1.1q Solving 1.6 + -8.2q = 69.4 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. 1.6 + -8.2q + 1.1q = 69.4 + -1.1q + 1.1q Combine like terms: -8.2q + 1.1q = -7.1q 1.6 + -7.1q = 69.4 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 1.6 + -7.1q = 69.4 + 0.0 1.6 + -7.1q = 69.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -7.1q = 69.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -7.1q = 69.4 + -1.6 -7.1q = 69.4 + -1.6 Combine like terms: 69.4 + -1.6 = 67.8 -7.1q = 67.8 Divide each side by '-7.1'. q = -9.549295775 Simplifying q = -9.549295775
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