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Simplifying q + 40 + 43 = 33q + 19 Reorder the terms: 40 + 43 + q = 33q + 19 Combine like terms: 40 + 43 = 83 83 + q = 33q + 19 Reorder the terms: 83 + q = 19 + 33q Solving 83 + q = 19 + 33q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-33q' to each side of the equation. 83 + q + -33q = 19 + 33q + -33q Combine like terms: q + -33q = -32q 83 + -32q = 19 + 33q + -33q Combine like terms: 33q + -33q = 0 83 + -32q = 19 + 0 83 + -32q = 19 Add '-83' to each side of the equation. 83 + -83 + -32q = 19 + -83 Combine like terms: 83 + -83 = 0 0 + -32q = 19 + -83 -32q = 19 + -83 Combine like terms: 19 + -83 = -64 -32q = -64 Divide each side by '-32'. q = 2 Simplifying q = 2
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