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Simplifying 8q + -76 = 9q + -96 Reorder the terms: -76 + 8q = 9q + -96 Reorder the terms: -76 + 8q = -96 + 9q Solving -76 + 8q = -96 + 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. -76 + 8q + -9q = -96 + 9q + -9q Combine like terms: 8q + -9q = -1q -76 + -1q = -96 + 9q + -9q Combine like terms: 9q + -9q = 0 -76 + -1q = -96 + 0 -76 + -1q = -96 Add '76' to each side of the equation. -76 + 76 + -1q = -96 + 76 Combine like terms: -76 + 76 = 0 0 + -1q = -96 + 76 -1q = -96 + 76 Combine like terms: -96 + 76 = -20 -1q = -20 Divide each side by '-1'. q = 20 Simplifying q = 20
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