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Simplifying 4.5q + -5.3 + -5.9 = 2.4q + -2.7 Reorder the terms: -5.3 + -5.9 + 4.5q = 2.4q + -2.7 Combine like terms: -5.3 + -5.9 = -11.2 -11.2 + 4.5q = 2.4q + -2.7 Reorder the terms: -11.2 + 4.5q = -2.7 + 2.4q Solving -11.2 + 4.5q = -2.7 + 2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.4q' to each side of the equation. -11.2 + 4.5q + -2.4q = -2.7 + 2.4q + -2.4q Combine like terms: 4.5q + -2.4q = 2.1q -11.2 + 2.1q = -2.7 + 2.4q + -2.4q Combine like terms: 2.4q + -2.4q = 0.0 -11.2 + 2.1q = -2.7 + 0.0 -11.2 + 2.1q = -2.7 Add '11.2' to each side of the equation. -11.2 + 11.2 + 2.1q = -2.7 + 11.2 Combine like terms: -11.2 + 11.2 = 0.0 0.0 + 2.1q = -2.7 + 11.2 2.1q = -2.7 + 11.2 Combine like terms: -2.7 + 11.2 = 8.5 2.1q = 8.5 Divide each side by '2.1'. q = 4.047619048 Simplifying q = 4.047619048
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