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Simplifying 5.1q + -2.3 + -5.6q = -1.5q + -5.4 Reorder the terms: -2.3 + 5.1q + -5.6q = -1.5q + -5.4 Combine like terms: 5.1q + -5.6q = -0.5q -2.3 + -0.5q = -1.5q + -5.4 Reorder the terms: -2.3 + -0.5q = -5.4 + -1.5q Solving -2.3 + -0.5q = -5.4 + -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. -2.3 + -0.5q + 1.5q = -5.4 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -2.3 + 1q = -5.4 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -2.3 + 1q = -5.4 + 0.0 -2.3 + 1q = -5.4 Add '2.3' to each side of the equation. -2.3 + 2.3 + 1q = -5.4 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 1q = -5.4 + 2.3 1q = -5.4 + 2.3 Combine like terms: -5.4 + 2.3 = -3.1 1q = -3.1 Divide each side by '1'. q = -3.1 Simplifying q = -3.1
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