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Simplifying q + -49 + q = q + 50 Reorder the terms: -49 + q + q = q + 50 Combine like terms: q + q = 2q -49 + 2q = q + 50 Reorder the terms: -49 + 2q = 50 + q Solving -49 + 2q = 50 + 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. -49 + 2q + -1q = 50 + q + -1q Combine like terms: 2q + -1q = 1q -49 + 1q = 50 + q + -1q Combine like terms: q + -1q = 0 -49 + 1q = 50 + 0 -49 + 1q = 50 Add '49' to each side of the equation. -49 + 49 + 1q = 50 + 49 Combine like terms: -49 + 49 = 0 0 + 1q = 50 + 49 1q = 50 + 49 Combine like terms: 50 + 49 = 99 1q = 99 Divide each side by '1'. q = 99 Simplifying q = 99
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