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Simplifying 6w + -1(4z + -3w) + -3z = 0 Reorder the terms: 6w + -1(-3w + 4z) + -3z = 0 6w + (-3w * -1 + 4z * -1) + -3z = 0 6w + (3w + -4z) + -3z = 0 Combine like terms: 6w + 3w = 9w 9w + -4z + -3z = 0 Combine like terms: -4z + -3z = -7z 9w + -7z = 0 Solving 9w + -7z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7z' to each side of the equation. 9w + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 9w + 0 = 0 + 7z 9w = 0 + 7z Remove the zero: 9w = 7z Divide each side by '9'. w = 0.7777777778z Simplifying w = 0.7777777778z
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