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Simplifying 3.7q + -1.3 + -5.8q = -3.1q + -3.1 Reorder the terms: -1.3 + 3.7q + -5.8q = -3.1q + -3.1 Combine like terms: 3.7q + -5.8q = -2.1q -1.3 + -2.1q = -3.1q + -3.1 Reorder the terms: -1.3 + -2.1q = -3.1 + -3.1q Solving -1.3 + -2.1q = -3.1 + -3.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.1q' to each side of the equation. -1.3 + -2.1q + 3.1q = -3.1 + -3.1q + 3.1q Combine like terms: -2.1q + 3.1q = 1q -1.3 + 1q = -3.1 + -3.1q + 3.1q Combine like terms: -3.1q + 3.1q = 0.0 -1.3 + 1q = -3.1 + 0.0 -1.3 + 1q = -3.1 Add '1.3' to each side of the equation. -1.3 + 1.3 + 1q = -3.1 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 1q = -3.1 + 1.3 1q = -3.1 + 1.3 Combine like terms: -3.1 + 1.3 = -1.8 1q = -1.8 Divide each side by '1'. q = -1.8 Simplifying q = -1.8
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