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Simplifying q + 106.87 = -1.1q + 6.7 Reorder the terms: 106.87 + q = -1.1q + 6.7 Reorder the terms: 106.87 + q = 6.7 + -1.1q Solving 106.87 + q = 6.7 + -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. 106.87 + q + 1.1q = 6.7 + -1.1q + 1.1q Combine like terms: q + 1.1q = 2.1q 106.87 + 2.1q = 6.7 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 106.87 + 2.1q = 6.7 + 0.0 106.87 + 2.1q = 6.7 Add '-106.87' to each side of the equation. 106.87 + -106.87 + 2.1q = 6.7 + -106.87 Combine like terms: 106.87 + -106.87 = 0.00 0.00 + 2.1q = 6.7 + -106.87 2.1q = 6.7 + -106.87 Combine like terms: 6.7 + -106.87 = -100.17 2.1q = -100.17 Divide each side by '2.1'. q = -47.7 Simplifying q = -47.7
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