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Simplifying 6 + 5q = 3q + -2 Reorder the terms: 6 + 5q = -2 + 3q Solving 6 + 5q = -2 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 6 + 5q + -3q = -2 + 3q + -3q Combine like terms: 5q + -3q = 2q 6 + 2q = -2 + 3q + -3q Combine like terms: 3q + -3q = 0 6 + 2q = -2 + 0 6 + 2q = -2 Add '-6' to each side of the equation. 6 + -6 + 2q = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2q = -2 + -6 2q = -2 + -6 Combine like terms: -2 + -6 = -8 2q = -8 Divide each side by '2'. q = -4 Simplifying q = -4
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