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Simplifying 4.5q + -3.1 + -5.8q = -2.3q + -1.3 Reorder the terms: -3.1 + 4.5q + -5.8q = -2.3q + -1.3 Combine like terms: 4.5q + -5.8q = -1.3q -3.1 + -1.3q = -2.3q + -1.3 Reorder the terms: -3.1 + -1.3q = -1.3 + -2.3q Solving -3.1 + -1.3q = -1.3 + -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. -3.1 + -1.3q + 2.3q = -1.3 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -3.1 + 1q = -1.3 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -3.1 + 1q = -1.3 + 0.0 -3.1 + 1q = -1.3 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -1.3 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -1.3 + 3.1 1q = -1.3 + 3.1 Combine like terms: -1.3 + 3.1 = 1.8 1q = 1.8 Divide each side by '1'. q = 1.8 Simplifying q = 1.8
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