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Simplifying -6w + -1(-4z + 5w) + 7z = 0 Reorder the terms: -6w + -1(5w + -4z) + 7z = 0 -6w + (5w * -1 + -4z * -1) + 7z = 0 -6w + (-5w + 4z) + 7z = 0 Combine like terms: -6w + -5w = -11w -11w + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z -11w + 11z = 0 Solving -11w + 11z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11z' to each side of the equation. -11w + 11z + -11z = 0 + -11z Combine like terms: 11z + -11z = 0 -11w + 0 = 0 + -11z -11w = 0 + -11z Remove the zero: -11w = -11z Divide each side by '-11'. w = z Simplifying w = z
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