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Simplifying 4.2q + -1.2 + -5.5q = 2.3q + -3.9 Reorder the terms: -1.2 + 4.2q + -5.5q = 2.3q + -3.9 Combine like terms: 4.2q + -5.5q = -1.3q -1.2 + -1.3q = 2.3q + -3.9 Reorder the terms: -1.2 + -1.3q = -3.9 + 2.3q Solving -1.2 + -1.3q = -3.9 + 2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.3q' to each side of the equation. -1.2 + -1.3q + -2.3q = -3.9 + 2.3q + -2.3q Combine like terms: -1.3q + -2.3q = -3.6q -1.2 + -3.6q = -3.9 + 2.3q + -2.3q Combine like terms: 2.3q + -2.3q = 0.0 -1.2 + -3.6q = -3.9 + 0.0 -1.2 + -3.6q = -3.9 Add '1.2' to each side of the equation. -1.2 + 1.2 + -3.6q = -3.9 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -3.6q = -3.9 + 1.2 -3.6q = -3.9 + 1.2 Combine like terms: -3.9 + 1.2 = -2.7 -3.6q = -2.7 Divide each side by '-3.6'. q = 0.75 Simplifying q = 0.75
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