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