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Simplifying 1.3q + -5.8 + -0.4q = -0.1q + -2.7 Reorder the terms: -5.8 + 1.3q + -0.4q = -0.1q + -2.7 Combine like terms: 1.3q + -0.4q = 0.9q -5.8 + 0.9q = -0.1q + -2.7 Reorder the terms: -5.8 + 0.9q = -2.7 + -0.1q Solving -5.8 + 0.9q = -2.7 + -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. -5.8 + 0.9q + 0.1q = -2.7 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -5.8 + 1q = -2.7 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -5.8 + 1q = -2.7 + 0.0 -5.8 + 1q = -2.7 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -2.7 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -2.7 + 5.8 1q = -2.7 + 5.8 Combine like terms: -2.7 + 5.8 = 3.1 1q = 3.1 Divide each side by '1'. q = 3.1 Simplifying q = 3.1
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