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Simplifying 5x(y + -1z + w) = 0 Reorder the terms: 5x(w + y + -1z) = 0 (w * 5x + y * 5x + -1z * 5x) = 0 (5wx + 5xy + -5xz) = 0 Solving 5wx + 5xy + -5xz = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5xy' to each side of the equation. 5wx + 5xy + -5xy + -5xz = 0 + -5xy Combine like terms: 5xy + -5xy = 0 5wx + 0 + -5xz = 0 + -5xy 5wx + -5xz = 0 + -5xy Remove the zero: 5wx + -5xz = -5xy Add '5xz' to each side of the equation. 5wx + -5xz + 5xz = -5xy + 5xz Combine like terms: -5xz + 5xz = 0 5wx + 0 = -5xy + 5xz 5wx = -5xy + 5xz Divide each side by '5x'. w = -1y + z Simplifying w = -1y + z
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