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Simplifying 3q + 7 = 6 + -2q Reorder the terms: 7 + 3q = 6 + -2q Solving 7 + 3q = 6 + -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. 7 + 3q + 2q = 6 + -2q + 2q Combine like terms: 3q + 2q = 5q 7 + 5q = 6 + -2q + 2q Combine like terms: -2q + 2q = 0 7 + 5q = 6 + 0 7 + 5q = 6 Add '-7' to each side of the equation. 7 + -7 + 5q = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 5q = 6 + -7 5q = 6 + -7 Combine like terms: 6 + -7 = -1 5q = -1 Divide each side by '5'. q = -0.2 Simplifying q = -0.2
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