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Simplifying 4.3q + -2.8 + -5.8q = 0.5q + -2.8 Reorder the terms: -2.8 + 4.3q + -5.8q = 0.5q + -2.8 Combine like terms: 4.3q + -5.8q = -1.5q -2.8 + -1.5q = 0.5q + -2.8 Reorder the terms: -2.8 + -1.5q = -2.8 + 0.5q Add '2.8' to each side of the equation. -2.8 + 2.8 + -1.5q = -2.8 + 2.8 + 0.5q Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -1.5q = -2.8 + 2.8 + 0.5q -1.5q = -2.8 + 2.8 + 0.5q Combine like terms: -2.8 + 2.8 = 0.0 -1.5q = 0.0 + 0.5q -1.5q = 0.5q Solving -1.5q = 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. -1.5q + -0.5q = 0.5q + -0.5q Combine like terms: -1.5q + -0.5q = -2q -2q = 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 -2q = 0.0 Divide each side by '-2'. q = 0.0 Simplifying q = 0.0
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