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Simplifying 3.9q + -1.3 + -5.5q = 2.6q + -4.4 Reorder the terms: -1.3 + 3.9q + -5.5q = 2.6q + -4.4 Combine like terms: 3.9q + -5.5q = -1.6q -1.3 + -1.6q = 2.6q + -4.4 Reorder the terms: -1.3 + -1.6q = -4.4 + 2.6q Solving -1.3 + -1.6q = -4.4 + 2.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.6q' to each side of the equation. -1.3 + -1.6q + -2.6q = -4.4 + 2.6q + -2.6q Combine like terms: -1.6q + -2.6q = -4.2q -1.3 + -4.2q = -4.4 + 2.6q + -2.6q Combine like terms: 2.6q + -2.6q = 0.0 -1.3 + -4.2q = -4.4 + 0.0 -1.3 + -4.2q = -4.4 Add '1.3' to each side of the equation. -1.3 + 1.3 + -4.2q = -4.4 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -4.2q = -4.4 + 1.3 -4.2q = -4.4 + 1.3 Combine like terms: -4.4 + 1.3 = -3.1 -4.2q = -3.1 Divide each side by '-4.2'. q = 0.7380952381 Simplifying q = 0.7380952381
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