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Simplifying 41 + -1q = [q + -5] Reorder the terms: 41 + -1q = [-5 + q] Remove brackets around [-5 + q] 41 + -1q = -5 + q Solving 41 + -1q = -5 + 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. 41 + -1q + -1q = -5 + q + -1q Combine like terms: -1q + -1q = -2q 41 + -2q = -5 + q + -1q Combine like terms: q + -1q = 0 41 + -2q = -5 + 0 41 + -2q = -5 Add '-41' to each side of the equation. 41 + -41 + -2q = -5 + -41 Combine like terms: 41 + -41 = 0 0 + -2q = -5 + -41 -2q = -5 + -41 Combine like terms: -5 + -41 = -46 -2q = -46 Divide each side by '-2'. q = 23 Simplifying q = 23
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