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Simplifying 3.5q + -2.4 + -5.2q = -2.7q + -1.5 Reorder the terms: -2.4 + 3.5q + -5.2q = -2.7q + -1.5 Combine like terms: 3.5q + -5.2q = -1.7q -2.4 + -1.7q = -2.7q + -1.5 Reorder the terms: -2.4 + -1.7q = -1.5 + -2.7q Solving -2.4 + -1.7q = -1.5 + -2.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.7q' to each side of the equation. -2.4 + -1.7q + 2.7q = -1.5 + -2.7q + 2.7q Combine like terms: -1.7q + 2.7q = 1q -2.4 + 1q = -1.5 + -2.7q + 2.7q Combine like terms: -2.7q + 2.7q = 0.0 -2.4 + 1q = -1.5 + 0.0 -2.4 + 1q = -1.5 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1q = -1.5 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1q = -1.5 + 2.4 1q = -1.5 + 2.4 Combine like terms: -1.5 + 2.4 = 0.9 1q = 0.9 Divide each side by '1'. q = 0.9 Simplifying q = 0.9
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