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Simplifying 6q + -7 = 11 + -3q Reorder the terms: -7 + 6q = 11 + -3q Solving -7 + 6q = 11 + -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. -7 + 6q + 3q = 11 + -3q + 3q Combine like terms: 6q + 3q = 9q -7 + 9q = 11 + -3q + 3q Combine like terms: -3q + 3q = 0 -7 + 9q = 11 + 0 -7 + 9q = 11 Add '7' to each side of the equation. -7 + 7 + 9q = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9q = 11 + 7 9q = 11 + 7 Combine like terms: 11 + 7 = 18 9q = 18 Divide each side by '9'. q = 2 Simplifying q = 2
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