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Simplifying 41 + -1q = (3q + -5) Reorder the terms: 41 + -1q = (-5 + 3q) Remove parenthesis around (-5 + 3q) 41 + -1q = -5 + 3q Solving 41 + -1q = -5 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 41 + -1q + -3q = -5 + 3q + -3q Combine like terms: -1q + -3q = -4q 41 + -4q = -5 + 3q + -3q Combine like terms: 3q + -3q = 0 41 + -4q = -5 + 0 41 + -4q = -5 Add '-41' to each side of the equation. 41 + -41 + -4q = -5 + -41 Combine like terms: 41 + -41 = 0 0 + -4q = -5 + -41 -4q = -5 + -41 Combine like terms: -5 + -41 = -46 -4q = -46 Divide each side by '-4'. q = 11.5 Simplifying q = 11.5
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