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Simplifying q + -34 + q + -47 = q + 34 Reorder the terms: -34 + -47 + q + q = q + 34 Combine like terms: -34 + -47 = -81 -81 + q + q = q + 34 Combine like terms: q + q = 2q -81 + 2q = q + 34 Reorder the terms: -81 + 2q = 34 + q Solving -81 + 2q = 34 + 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. -81 + 2q + -1q = 34 + q + -1q Combine like terms: 2q + -1q = 1q -81 + 1q = 34 + q + -1q Combine like terms: q + -1q = 0 -81 + 1q = 34 + 0 -81 + 1q = 34 Add '81' to each side of the equation. -81 + 81 + 1q = 34 + 81 Combine like terms: -81 + 81 = 0 0 + 1q = 34 + 81 1q = 34 + 81 Combine like terms: 34 + 81 = 115 1q = 115 Divide each side by '1'. q = 115 Simplifying q = 115
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