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Simplifying 9q + -6 = 4q + 19 Reorder the terms: -6 + 9q = 4q + 19 Reorder the terms: -6 + 9q = 19 + 4q Solving -6 + 9q = 19 + 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. -6 + 9q + -4q = 19 + 4q + -4q Combine like terms: 9q + -4q = 5q -6 + 5q = 19 + 4q + -4q Combine like terms: 4q + -4q = 0 -6 + 5q = 19 + 0 -6 + 5q = 19 Add '6' to each side of the equation. -6 + 6 + 5q = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 5q = 19 + 6 5q = 19 + 6 Combine like terms: 19 + 6 = 25 5q = 25 Divide each side by '5'. q = 5 Simplifying q = 5
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