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Simplifying (q + -8) * 2 = 6 Reorder the terms: (-8 + q) * 2 = 6 Reorder the terms for easier multiplication: 2(-8 + q) = 6 (-8 * 2 + q * 2) = 6 (-16 + 2q) = 6 Solving -16 + 2q = 6 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 + 2q = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 2q = 6 + 16 2q = 6 + 16 Combine like terms: 6 + 16 = 22 2q = 22 Divide each side by '2'. q = 11 Simplifying q = 11
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