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Simplifying 4.5q + -5.7 + -5.8q = -2.3q + -3.5 Reorder the terms: -5.7 + 4.5q + -5.8q = -2.3q + -3.5 Combine like terms: 4.5q + -5.8q = -1.3q -5.7 + -1.3q = -2.3q + -3.5 Reorder the terms: -5.7 + -1.3q = -3.5 + -2.3q Solving -5.7 + -1.3q = -3.5 + -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. -5.7 + -1.3q + 2.3q = -3.5 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -5.7 + 1q = -3.5 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -5.7 + 1q = -3.5 + 0.0 -5.7 + 1q = -3.5 Add '5.7' to each side of the equation. -5.7 + 5.7 + 1q = -3.5 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 1q = -3.5 + 5.7 1q = -3.5 + 5.7 Combine like terms: -3.5 + 5.7 = 2.2 1q = 2.2 Divide each side by '1'. q = 2.2 Simplifying q = 2.2
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