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Simplifying (q + -6) * 6 = 42 Reorder the terms: (-6 + q) * 6 = 42 Reorder the terms for easier multiplication: 6(-6 + q) = 42 (-6 * 6 + q * 6) = 42 (-36 + 6q) = 42 Solving -36 + 6q = 42 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6q = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 6q = 42 + 36 6q = 42 + 36 Combine like terms: 42 + 36 = 78 6q = 78 Divide each side by '6'. q = 13 Simplifying q = 13
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