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Simplifying 15q + 32 + 9q + -8 = 0 Reorder the terms: 32 + -8 + 15q + 9q = 0 Combine like terms: 32 + -8 = 24 24 + 15q + 9q = 0 Combine like terms: 15q + 9q = 24q 24 + 24q = 0 Solving 24 + 24q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 24q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 24q = 0 + -24 24q = 0 + -24 Combine like terms: 0 + -24 = -24 24q = -24 Divide each side by '24'. q = -1 Simplifying q = -1
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