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Simplifying -6w + -5(7z + -2w) + 3z = 0 Reorder the terms: -6w + -5(-2w + 7z) + 3z = 0 -6w + (-2w * -5 + 7z * -5) + 3z = 0 -6w + (10w + -35z) + 3z = 0 Combine like terms: -6w + 10w = 4w 4w + -35z + 3z = 0 Combine like terms: -35z + 3z = -32z 4w + -32z = 0 Solving 4w + -32z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32z' to each side of the equation. 4w + -32z + 32z = 0 + 32z Combine like terms: -32z + 32z = 0 4w + 0 = 0 + 32z 4w = 0 + 32z Remove the zero: 4w = 32z Divide each side by '4'. w = 8z Simplifying w = 8z
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