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Simplifying 5q + 24 = 9q + 8 Reorder the terms: 24 + 5q = 9q + 8 Reorder the terms: 24 + 5q = 8 + 9q Solving 24 + 5q = 8 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 24 + 5q + -9q = 8 + 9q + -9q Combine like terms: 5q + -9q = -4q 24 + -4q = 8 + 9q + -9q Combine like terms: 9q + -9q = 0 24 + -4q = 8 + 0 24 + -4q = 8 Add '-24' to each side of the equation. 24 + -24 + -4q = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -4q = 8 + -24 -4q = 8 + -24 Combine like terms: 8 + -24 = -16 -4q = -16 Divide each side by '-4'. q = 4 Simplifying q = 4
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