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Simplifying 1.5q + -2.7 + -3.9q = -3.4q + -5.7 Reorder the terms: -2.7 + 1.5q + -3.9q = -3.4q + -5.7 Combine like terms: 1.5q + -3.9q = -2.4q -2.7 + -2.4q = -3.4q + -5.7 Reorder the terms: -2.7 + -2.4q = -5.7 + -3.4q Solving -2.7 + -2.4q = -5.7 + -3.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.4q' to each side of the equation. -2.7 + -2.4q + 3.4q = -5.7 + -3.4q + 3.4q Combine like terms: -2.4q + 3.4q = 1q -2.7 + 1q = -5.7 + -3.4q + 3.4q Combine like terms: -3.4q + 3.4q = 0.0 -2.7 + 1q = -5.7 + 0.0 -2.7 + 1q = -5.7 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1q = -5.7 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1q = -5.7 + 2.7 1q = -5.7 + 2.7 Combine like terms: -5.7 + 2.7 = -3 1q = -3 Divide each side by '1'. q = -3 Simplifying q = -3
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