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Simplifying 5q + 6 = 2q + -2 + 9 Reorder the terms: 6 + 5q = 2q + -2 + 9 Reorder the terms: 6 + 5q = -2 + 9 + 2q Combine like terms: -2 + 9 = 7 6 + 5q = 7 + 2q Solving 6 + 5q = 7 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 6 + 5q + -2q = 7 + 2q + -2q Combine like terms: 5q + -2q = 3q 6 + 3q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 6 + 3q = 7 + 0 6 + 3q = 7 Add '-6' to each side of the equation. 6 + -6 + 3q = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 3q = 7 + -6 3q = 7 + -6 Combine like terms: 7 + -6 = 1 3q = 1 Divide each side by '3'. q = 0.3333333333 Simplifying q = 0.3333333333
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