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Simplifying (q + -6) * 5 = 30 Reorder the terms: (-6 + q) * 5 = 30 Reorder the terms for easier multiplication: 5(-6 + q) = 30 (-6 * 5 + q * 5) = 30 (-30 + 5q) = 30 Solving -30 + 5q = 30 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5q = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 5q = 30 + 30 5q = 30 + 30 Combine like terms: 30 + 30 = 60 5q = 60 Divide each side by '5'. q = 12 Simplifying q = 12
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