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Simplifying 4q + 9 = 6q + 17 Reorder the terms: 9 + 4q = 6q + 17 Reorder the terms: 9 + 4q = 17 + 6q Solving 9 + 4q = 17 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 9 + 4q + -6q = 17 + 6q + -6q Combine like terms: 4q + -6q = -2q 9 + -2q = 17 + 6q + -6q Combine like terms: 6q + -6q = 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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