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