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Simplifying (4q + 9) = (2q + -1) Reorder the terms: (9 + 4q) = (2q + -1) Remove parenthesis around (9 + 4q) 9 + 4q = (2q + -1) Reorder the terms: 9 + 4q = (-1 + 2q) Remove parenthesis around (-1 + 2q) 9 + 4q = -1 + 2q Solving 9 + 4q = -1 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 9 + 4q + -2q = -1 + 2q + -2q Combine like terms: 4q + -2q = 2q 9 + 2q = -1 + 2q + -2q Combine like terms: 2q + -2q = 0 9 + 2q = -1 + 0 9 + 2q = -1 Add '-9' to each side of the equation. 9 + -9 + 2q = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2q = -1 + -9 2q = -1 + -9 Combine like terms: -1 + -9 = -10 2q = -10 Divide each side by '2'. q = -5 Simplifying q = -5
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