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Simplifying 7w + -2(6z + -7w) + 3z = 0 Reorder the terms: 7w + -2(-7w + 6z) + 3z = 0 7w + (-7w * -2 + 6z * -2) + 3z = 0 7w + (14w + -12z) + 3z = 0 Combine like terms: 7w + 14w = 21w 21w + -12z + 3z = 0 Combine like terms: -12z + 3z = -9z 21w + -9z = 0 Solving 21w + -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. 21w + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 21w + 0 = 0 + 9z 21w = 0 + 9z Remove the zero: 21w = 9z Divide each side by '21'. w = 0.4285714286z Simplifying w = 0.4285714286z
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