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Simplifying 4 + 6q = 9 + 5q Solving 4 + 6q = 9 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 4 + 6q + -5q = 9 + 5q + -5q Combine like terms: 6q + -5q = 1q 4 + 1q = 9 + 5q + -5q Combine like terms: 5q + -5q = 0 4 + 1q = 9 + 0 4 + 1q = 9 Add '-4' to each side of the equation. 4 + -4 + 1q = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1q = 9 + -4 1q = 9 + -4 Combine like terms: 9 + -4 = 5 1q = 5 Divide each side by '1'. q = 5 Simplifying q = 5
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