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Simplifying 50q + -43 = 52q + -82 Reorder the terms: -43 + 50q = 52q + -82 Reorder the terms: -43 + 50q = -82 + 52q Solving -43 + 50q = -82 + 52q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-52q' to each side of the equation. -43 + 50q + -52q = -82 + 52q + -52q Combine like terms: 50q + -52q = -2q -43 + -2q = -82 + 52q + -52q Combine like terms: 52q + -52q = 0 -43 + -2q = -82 + 0 -43 + -2q = -82 Add '43' to each side of the equation. -43 + 43 + -2q = -82 + 43 Combine like terms: -43 + 43 = 0 0 + -2q = -82 + 43 -2q = -82 + 43 Combine like terms: -82 + 43 = -39 -2q = -39 Divide each side by '-2'. q = 19.5 Simplifying q = 19.5
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