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Simplifying 2 + 7q = 83 + -2q Solving 2 + 7q = 83 + -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. 2 + 7q + 2q = 83 + -2q + 2q Combine like terms: 7q + 2q = 9q 2 + 9q = 83 + -2q + 2q Combine like terms: -2q + 2q = 0 2 + 9q = 83 + 0 2 + 9q = 83 Add '-2' to each side of the equation. 2 + -2 + 9q = 83 + -2 Combine like terms: 2 + -2 = 0 0 + 9q = 83 + -2 9q = 83 + -2 Combine like terms: 83 + -2 = 81 9q = 81 Divide each side by '9'. q = 9 Simplifying q = 9
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