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Simplifying 2q + -82 + 9 = 31 Reorder the terms: -82 + 9 + 2q = 31 Combine like terms: -82 + 9 = -73 -73 + 2q = 31 Solving -73 + 2q = 31 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 2q = 31 + 73 Combine like terms: -73 + 73 = 0 0 + 2q = 31 + 73 2q = 31 + 73 Combine like terms: 31 + 73 = 104 2q = 104 Divide each side by '2'. q = 52 Simplifying q = 52
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