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Simplifying (q + -9) * 6 = 42 Reorder the terms: (-9 + q) * 6 = 42 Reorder the terms for easier multiplication: 6(-9 + q) = 42 (-9 * 6 + q * 6) = 42 (-54 + 6q) = 42 Solving -54 + 6q = 42 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 6q = 42 + 54 Combine like terms: -54 + 54 = 0 0 + 6q = 42 + 54 6q = 42 + 54 Combine like terms: 42 + 54 = 96 6q = 96 Divide each side by '6'. q = 16 Simplifying q = 16
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