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Simplifying 4x(8 + m) = 0 (8 * 4x + m * 4x) = 0 Reorder the terms: (4mx + 32x) = 0 (4mx + 32x) = 0 Solving 4mx + 32x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32x' to each side of the equation. 4mx + 32x + -32x = 0 + -32x Combine like terms: 32x + -32x = 0 4mx + 0 = 0 + -32x 4mx = 0 + -32x Remove the zero: 4mx = -32x Divide each side by '4x'. m = -8 Simplifying m = -8
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