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Simplifying 3q + 44 = 5q + -82 Reorder the terms: 44 + 3q = 5q + -82 Reorder the terms: 44 + 3q = -82 + 5q Solving 44 + 3q = -82 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 44 + 3q + -5q = -82 + 5q + -5q Combine like terms: 3q + -5q = -2q 44 + -2q = -82 + 5q + -5q Combine like terms: 5q + -5q = 0 44 + -2q = -82 + 0 44 + -2q = -82 Add '-44' to each side of the equation. 44 + -44 + -2q = -82 + -44 Combine like terms: 44 + -44 = 0 0 + -2q = -82 + -44 -2q = -82 + -44 Combine like terms: -82 + -44 = -126 -2q = -126 Divide each side by '-2'. q = 63 Simplifying q = 63
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