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Simplifying 6q + 7 = 4q + -2 + q Reorder the terms: 7 + 6q = 4q + -2 + q Reorder the terms: 7 + 6q = -2 + 4q + q Combine like terms: 4q + q = 5q 7 + 6q = -2 + 5q Solving 7 + 6q = -2 + 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. 7 + 6q + -5q = -2 + 5q + -5q Combine like terms: 6q + -5q = 1q 7 + 1q = -2 + 5q + -5q Combine like terms: 5q + -5q = 0 7 + 1q = -2 + 0 7 + 1q = -2 Add '-7' to each side of the equation. 7 + -7 + 1q = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 1q = -2 + -7 1q = -2 + -7 Combine like terms: -2 + -7 = -9 1q = -9 Divide each side by '1'. q = -9 Simplifying q = -9
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