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Simplifying 3.1q + -4.5 + -5.8q = -3.7q + -1.3 Reorder the terms: -4.5 + 3.1q + -5.8q = -3.7q + -1.3 Combine like terms: 3.1q + -5.8q = -2.7q -4.5 + -2.7q = -3.7q + -1.3 Reorder the terms: -4.5 + -2.7q = -1.3 + -3.7q Solving -4.5 + -2.7q = -1.3 + -3.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.7q' to each side of the equation. -4.5 + -2.7q + 3.7q = -1.3 + -3.7q + 3.7q Combine like terms: -2.7q + 3.7q = 1q -4.5 + 1q = -1.3 + -3.7q + 3.7q Combine like terms: -3.7q + 3.7q = 0.0 -4.5 + 1q = -1.3 + 0.0 -4.5 + 1q = -1.3 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -1.3 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -1.3 + 4.5 1q = -1.3 + 4.5 Combine like terms: -1.3 + 4.5 = 3.2 1q = 3.2 Divide each side by '1'. q = 3.2 Simplifying q = 3.2
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