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Simplifying 6(8z + w) = 0 Reorder the terms: 6(w + 8z) = 0 (w * 6 + 8z * 6) = 0 (6w + 48z) = 0 Solving 6w + 48z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48z' to each side of the equation. 6w + 48z + -48z = 0 + -48z Combine like terms: 48z + -48z = 0 6w + 0 = 0 + -48z 6w = 0 + -48z Remove the zero: 6w = -48z Divide each side by '6'. w = -8z Simplifying w = -8z
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