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Simplifying (q + -4) * 6 = 42 Reorder the terms: (-4 + q) * 6 = 42 Reorder the terms for easier multiplication: 6(-4 + q) = 42 (-4 * 6 + q * 6) = 42 (-24 + 6q) = 42 Solving -24 + 6q = 42 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6q = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 6q = 42 + 24 6q = 42 + 24 Combine like terms: 42 + 24 = 66 6q = 66 Divide each side by '6'. q = 11 Simplifying q = 11
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