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Simplifying (q + -4) * 2 = 6 Reorder the terms: (-4 + q) * 2 = 6 Reorder the terms for easier multiplication: 2(-4 + q) = 6 (-4 * 2 + q * 2) = 6 (-8 + 2q) = 6 Solving -8 + 2q = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2q = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2q = 6 + 8 2q = 6 + 8 Combine like terms: 6 + 8 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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