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Simplifying 6 = 9q + 11 + 5q Reorder the terms: 6 = 11 + 9q + 5q Combine like terms: 9q + 5q = 14q 6 = 11 + 14q Solving 6 = 11 + 14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14q' to each side of the equation. 6 + -14q = 11 + 14q + -14q Combine like terms: 14q + -14q = 0 6 + -14q = 11 + 0 6 + -14q = 11 Add '-6' to each side of the equation. 6 + -6 + -14q = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -14q = 11 + -6 -14q = 11 + -6 Combine like terms: 11 + -6 = 5 -14q = 5 Divide each side by '-14'. q = -0.3571428571 Simplifying q = -0.3571428571
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