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Simplifying 1.2q + -3.1 + -0.5q = -0.3q + -5.9 Reorder the terms: -3.1 + 1.2q + -0.5q = -0.3q + -5.9 Combine like terms: 1.2q + -0.5q = 0.7q -3.1 + 0.7q = -0.3q + -5.9 Reorder the terms: -3.1 + 0.7q = -5.9 + -0.3q Solving -3.1 + 0.7q = -5.9 + -0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.3q' to each side of the equation. -3.1 + 0.7q + 0.3q = -5.9 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -3.1 + 1q = -5.9 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -3.1 + 1q = -5.9 + 0.0 -3.1 + 1q = -5.9 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -5.9 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -5.9 + 3.1 1q = -5.9 + 3.1 Combine like terms: -5.9 + 3.1 = -2.8 1q = -2.8 Divide each side by '1'. q = -2.8 Simplifying q = -2.8
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