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Simplifying -5w + -1(7z + -6w) + -2z = 0 Reorder the terms: -5w + -1(-6w + 7z) + -2z = 0 -5w + (-6w * -1 + 7z * -1) + -2z = 0 -5w + (6w + -7z) + -2z = 0 Combine like terms: -5w + 6w = 1w 1w + -7z + -2z = 0 Combine like terms: -7z + -2z = -9z 1w + -9z = 0 Solving 1w + -9z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9z' to each side of the equation. 1w + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 1w + 0 = 0 + 9z 1w = 0 + 9z Remove the zero: 1w = 9z Divide each side by '1'. w = 9z Simplifying w = 9z
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