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Simplifying 4.2q + -5.9 + -5.5q = -2.3q + -3.6 Reorder the terms: -5.9 + 4.2q + -5.5q = -2.3q + -3.6 Combine like terms: 4.2q + -5.5q = -1.3q -5.9 + -1.3q = -2.3q + -3.6 Reorder the terms: -5.9 + -1.3q = -3.6 + -2.3q Solving -5.9 + -1.3q = -3.6 + -2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.3q' to each side of the equation. -5.9 + -1.3q + 2.3q = -3.6 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -5.9 + 1q = -3.6 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -5.9 + 1q = -3.6 + 0.0 -5.9 + 1q = -3.6 Add '5.9' to each side of the equation. -5.9 + 5.9 + 1q = -3.6 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + 1q = -3.6 + 5.9 1q = -3.6 + 5.9 Combine like terms: -3.6 + 5.9 = 2.3 1q = 2.3 Divide each side by '1'. q = 2.3 Simplifying q = 2.3
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