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Simplifying 4q + 3q + q = 5q + -6 Combine like terms: 4q + 3q = 7q 7q + q = 5q + -6 Combine like terms: 7q + q = 8q 8q = 5q + -6 Reorder the terms: 8q = -6 + 5q Solving 8q = -6 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 8q + -5q = -6 + 5q + -5q Combine like terms: 8q + -5q = 3q 3q = -6 + 5q + -5q Combine like terms: 5q + -5q = 0 3q = -6 + 0 3q = -6 Divide each side by '3'. q = -2 Simplifying q = -2
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