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Simplifying 1.5q + -5.2 + -2.9q = -2.4q + -3.7 Reorder the terms: -5.2 + 1.5q + -2.9q = -2.4q + -3.7 Combine like terms: 1.5q + -2.9q = -1.4q -5.2 + -1.4q = -2.4q + -3.7 Reorder the terms: -5.2 + -1.4q = -3.7 + -2.4q Solving -5.2 + -1.4q = -3.7 + -2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.4q' to each side of the equation. -5.2 + -1.4q + 2.4q = -3.7 + -2.4q + 2.4q Combine like terms: -1.4q + 2.4q = 1q -5.2 + 1q = -3.7 + -2.4q + 2.4q Combine like terms: -2.4q + 2.4q = 0.0 -5.2 + 1q = -3.7 + 0.0 -5.2 + 1q = -3.7 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -3.7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -3.7 + 5.2 1q = -3.7 + 5.2 Combine like terms: -3.7 + 5.2 = 1.5 1q = 1.5 Divide each side by '1'. q = 1.5 Simplifying q = 1.5
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