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Simplifying (q + -6) * 4 = 32 Reorder the terms: (-6 + q) * 4 = 32 Reorder the terms for easier multiplication: 4(-6 + q) = 32 (-6 * 4 + q * 4) = 32 (-24 + 4q) = 32 Solving -24 + 4q = 32 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 + 4q = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 4q = 32 + 24 4q = 32 + 24 Combine like terms: 32 + 24 = 56 4q = 56 Divide each side by '4'. q = 14 Simplifying q = 14
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