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Simplifying (q + -8) * 4 = 12 Reorder the terms: (-8 + q) * 4 = 12 Reorder the terms for easier multiplication: 4(-8 + q) = 12 (-8 * 4 + q * 4) = 12 (-32 + 4q) = 12 Solving -32 + 4q = 12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4q = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 4q = 12 + 32 4q = 12 + 32 Combine like terms: 12 + 32 = 44 4q = 44 Divide each side by '4'. q = 11 Simplifying q = 11
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