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Simplifying 5q + 2.6 + -5.2 + -20.8q = -9.2 + -8.8q Reorder the terms: 2.6 + -5.2 + 5q + -20.8q = -9.2 + -8.8q Combine like terms: 2.6 + -5.2 = -2.6 -2.6 + 5q + -20.8q = -9.2 + -8.8q Combine like terms: 5q + -20.8q = -15.8q -2.6 + -15.8q = -9.2 + -8.8q Solving -2.6 + -15.8q = -9.2 + -8.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8.8q' to each side of the equation. -2.6 + -15.8q + 8.8q = -9.2 + -8.8q + 8.8q Combine like terms: -15.8q + 8.8q = -7q -2.6 + -7q = -9.2 + -8.8q + 8.8q Combine like terms: -8.8q + 8.8q = 0.0 -2.6 + -7q = -9.2 + 0.0 -2.6 + -7q = -9.2 Add '2.6' to each side of the equation. -2.6 + 2.6 + -7q = -9.2 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -7q = -9.2 + 2.6 -7q = -9.2 + 2.6 Combine like terms: -9.2 + 2.6 = -6.6 -7q = -6.6 Divide each side by '-7'. q = 0.9428571429 Simplifying q = 0.9428571429
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