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Simplifying (q + -4) * 4 = 32 Reorder the terms: (-4 + q) * 4 = 32 Reorder the terms for easier multiplication: 4(-4 + q) = 32 (-4 * 4 + q * 4) = 32 (-16 + 4q) = 32 Solving -16 + 4q = 32 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4q = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 4q = 32 + 16 4q = 32 + 16 Combine like terms: 32 + 16 = 48 4q = 48 Divide each side by '4'. q = 12 Simplifying q = 12
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