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Simplifying 7.9q + 1.4 = -1.1q + -3.1 Reorder the terms: 1.4 + 7.9q = -1.1q + -3.1 Reorder the terms: 1.4 + 7.9q = -3.1 + -1.1q Solving 1.4 + 7.9q = -3.1 + -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. 1.4 + 7.9q + 1.1q = -3.1 + -1.1q + 1.1q Combine like terms: 7.9q + 1.1q = 9q 1.4 + 9q = -3.1 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 1.4 + 9q = -3.1 + 0.0 1.4 + 9q = -3.1 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 9q = -3.1 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 9q = -3.1 + -1.4 9q = -3.1 + -1.4 Combine like terms: -3.1 + -1.4 = -4.5 9q = -4.5 Divide each side by '9'. q = -0.5 Simplifying q = -0.5
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