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Simplifying 4q + 9 = 2q + 17 Reorder the terms: 9 + 4q = 2q + 17 Reorder the terms: 9 + 4q = 17 + 2q Solving 9 + 4q = 17 + 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 = 17 + 2q + -2q Combine like terms: 4q + -2q = 2q 9 + 2q = 17 + 2q + -2q Combine like terms: 2q + -2q = 0 9 + 2q = 17 + 0 9 + 2q = 17 Add '-9' to each side of the equation. 9 + -9 + 2q = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 2q = 17 + -9 2q = 17 + -9 Combine like terms: 17 + -9 = 8 2q = 8 Divide each side by '2'. q = 4 Simplifying q = 4
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