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Simplifying 1.3q + -2.3 + -0.4q = -0.1q + -1.8 Reorder the terms: -2.3 + 1.3q + -0.4q = -0.1q + -1.8 Combine like terms: 1.3q + -0.4q = 0.9q -2.3 + 0.9q = -0.1q + -1.8 Reorder the terms: -2.3 + 0.9q = -1.8 + -0.1q Solving -2.3 + 0.9q = -1.8 + -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. -2.3 + 0.9q + 0.1q = -1.8 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -2.3 + 1q = -1.8 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -2.3 + 1q = -1.8 + 0.0 -2.3 + 1q = -1.8 Add '2.3' to each side of the equation. -2.3 + 2.3 + 1q = -1.8 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 1q = -1.8 + 2.3 1q = -1.8 + 2.3 Combine like terms: -1.8 + 2.3 = 0.5 1q = 0.5 Divide each side by '1'. q = 0.5 Simplifying q = 0.5
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