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Simplifying 3.1q + -2.7 + -2.2q = 0.1q + -2.2 Reorder the terms: -2.7 + 3.1q + -2.2q = 0.1q + -2.2 Combine like terms: 3.1q + -2.2q = 0.9q -2.7 + 0.9q = 0.1q + -2.2 Reorder the terms: -2.7 + 0.9q = -2.2 + 0.1q Solving -2.7 + 0.9q = -2.2 + 0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.1q' to each side of the equation. -2.7 + 0.9q + -0.1q = -2.2 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -2.7 + 0.8q = -2.2 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -2.7 + 0.8q = -2.2 + 0.0 -2.7 + 0.8q = -2.2 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.8q = -2.2 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.8q = -2.2 + 2.7 0.8q = -2.2 + 2.7 Combine like terms: -2.2 + 2.7 = 0.5 0.8q = 0.5 Divide each side by '0.8'. q = 0.625 Simplifying q = 0.625
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