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Simplifying (q + -6) * 2 = 8 Reorder the terms: (-6 + q) * 2 = 8 Reorder the terms for easier multiplication: 2(-6 + q) = 8 (-6 * 2 + q * 2) = 8 (-12 + 2q) = 8 Solving -12 + 2q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2q = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2q = 8 + 12 2q = 8 + 12 Combine like terms: 8 + 12 = 20 2q = 20 Divide each side by '2'. q = 10 Simplifying q = 10
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