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Simplifying q + 5 = -1q + 1 Reorder the terms: 5 + q = -1q + 1 Reorder the terms: 5 + q = 1 + -1q Solving 5 + q = 1 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 5 + q + q = 1 + -1q + q Combine like terms: q + q = 2q 5 + 2q = 1 + -1q + q Combine like terms: -1q + q = 0 5 + 2q = 1 + 0 5 + 2q = 1 Add '-5' to each side of the equation. 5 + -5 + 2q = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2q = 1 + -5 2q = 1 + -5 Combine like terms: 1 + -5 = -4 2q = -4 Divide each side by '2'. q = -2 Simplifying q = -2
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