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Simplifying 9 + 5q = 14 + 4q Solving 9 + 5q = 14 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 9 + 5q + -4q = 14 + 4q + -4q Combine like terms: 5q + -4q = 1q 9 + 1q = 14 + 4q + -4q Combine like terms: 4q + -4q = 0 9 + 1q = 14 + 0 9 + 1q = 14 Add '-9' to each side of the equation. 9 + -9 + 1q = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1q = 14 + -9 1q = 14 + -9 Combine like terms: 14 + -9 = 5 1q = 5 Divide each side by '1'. q = 5 Simplifying q = 5
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