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Simplifying 71 = q + 82 Reorder the terms: 71 = 82 + q Solving 71 = 82 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 71 + -1q = 82 + q + -1q Combine like terms: q + -1q = 0 71 + -1q = 82 + 0 71 + -1q = 82 Add '-71' to each side of the equation. 71 + -71 + -1q = 82 + -71 Combine like terms: 71 + -71 = 0 0 + -1q = 82 + -71 -1q = 82 + -71 Combine like terms: 82 + -71 = 11 -1q = 11 Divide each side by '-1'. q = -11 Simplifying q = -11
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