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Simplifying 4.3q + -4.2 + -5.8q = 2.5q + -1.8 Reorder the terms: -4.2 + 4.3q + -5.8q = 2.5q + -1.8 Combine like terms: 4.3q + -5.8q = -1.5q -4.2 + -1.5q = 2.5q + -1.8 Reorder the terms: -4.2 + -1.5q = -1.8 + 2.5q Solving -4.2 + -1.5q = -1.8 + 2.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.5q' to each side of the equation. -4.2 + -1.5q + -2.5q = -1.8 + 2.5q + -2.5q Combine like terms: -1.5q + -2.5q = -4q -4.2 + -4q = -1.8 + 2.5q + -2.5q Combine like terms: 2.5q + -2.5q = 0.0 -4.2 + -4q = -1.8 + 0.0 -4.2 + -4q = -1.8 Add '4.2' to each side of the equation. -4.2 + 4.2 + -4q = -1.8 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -4q = -1.8 + 4.2 -4q = -1.8 + 4.2 Combine like terms: -1.8 + 4.2 = 2.4 -4q = 2.4 Divide each side by '-4'. q = -0.6 Simplifying q = -0.6
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