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Simplifying 5.2q + -3.4 + -5.7q = -1.5q + -2.7 Reorder the terms: -3.4 + 5.2q + -5.7q = -1.5q + -2.7 Combine like terms: 5.2q + -5.7q = -0.5q -3.4 + -0.5q = -1.5q + -2.7 Reorder the terms: -3.4 + -0.5q = -2.7 + -1.5q Solving -3.4 + -0.5q = -2.7 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. -3.4 + -0.5q + 1.5q = -2.7 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -3.4 + 1q = -2.7 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -3.4 + 1q = -2.7 + 0.0 -3.4 + 1q = -2.7 Add '3.4' to each side of the equation. -3.4 + 3.4 + 1q = -2.7 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 1q = -2.7 + 3.4 1q = -2.7 + 3.4 Combine like terms: -2.7 + 3.4 = 0.7 1q = 0.7 Divide each side by '1'. q = 0.7 Simplifying q = 0.7
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