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Simplifying q + -19 + q = q + 38 Reorder the terms: -19 + q + q = q + 38 Combine like terms: q + q = 2q -19 + 2q = q + 38 Reorder the terms: -19 + 2q = 38 + q Solving -19 + 2q = 38 + 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. -19 + 2q + -1q = 38 + q + -1q Combine like terms: 2q + -1q = 1q -19 + 1q = 38 + q + -1q Combine like terms: q + -1q = 0 -19 + 1q = 38 + 0 -19 + 1q = 38 Add '19' to each side of the equation. -19 + 19 + 1q = 38 + 19 Combine like terms: -19 + 19 = 0 0 + 1q = 38 + 19 1q = 38 + 19 Combine like terms: 38 + 19 = 57 1q = 57 Divide each side by '1'. q = 57 Simplifying q = 57
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