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Simplifying (2 + 4q)(4) = 0 Reorder the terms for easier multiplication: 4(2 + 4q) = 0 (2 * 4 + 4q * 4) = 0 (8 + 16q) = 0 Solving 8 + 16q = 0 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 + 16q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16q = 0 + -8 16q = 0 + -8 Combine like terms: 0 + -8 = -8 16q = -8 Divide each side by '16'. q = -0.5 Simplifying q = -0.5
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