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Simplifying (q + -5) * 6 = 42 Reorder the terms: (-5 + q) * 6 = 42 Reorder the terms for easier multiplication: 6(-5 + q) = 42 (-5 * 6 + q * 6) = 42 (-30 + 6q) = 42 Solving -30 + 6q = 42 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 + 6q = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 6q = 42 + 30 6q = 42 + 30 Combine like terms: 42 + 30 = 72 6q = 72 Divide each side by '6'. q = 12 Simplifying q = 12
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