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Simplifying 5.8q + -1.4 + -5.3q = -0.5q + -1.6 Reorder the terms: -1.4 + 5.8q + -5.3q = -0.5q + -1.6 Combine like terms: 5.8q + -5.3q = 0.5q -1.4 + 0.5q = -0.5q + -1.6 Reorder the terms: -1.4 + 0.5q = -1.6 + -0.5q Solving -1.4 + 0.5q = -1.6 + -0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.5q' to each side of the equation. -1.4 + 0.5q + 0.5q = -1.6 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -1.4 + 1q = -1.6 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -1.4 + 1q = -1.6 + 0.0 -1.4 + 1q = -1.6 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1q = -1.6 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1q = -1.6 + 1.4 1q = -1.6 + 1.4 Combine like terms: -1.6 + 1.4 = -0.2 1q = -0.2 Divide each side by '1'. q = -0.2 Simplifying q = -0.2
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