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Simplifying -5q + 12q + -32 = 8 Reorder the terms: -32 + -5q + 12q = 8 Combine like terms: -5q + 12q = 7q -32 + 7q = 8 Solving -32 + 7q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7q = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 7q = 8 + 32 7q = 8 + 32 Combine like terms: 8 + 32 = 40 7q = 40 Divide each side by '7'. q = 5.714285714 Simplifying q = 5.714285714
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