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Simplifying -5w + -6(-5z + 3w) + -7z = 0 Reorder the terms: -5w + -6(3w + -5z) + -7z = 0 -5w + (3w * -6 + -5z * -6) + -7z = 0 -5w + (-18w + 30z) + -7z = 0 Combine like terms: -5w + -18w = -23w -23w + 30z + -7z = 0 Combine like terms: 30z + -7z = 23z -23w + 23z = 0 Solving -23w + 23z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23z' to each side of the equation. -23w + 23z + -23z = 0 + -23z Combine like terms: 23z + -23z = 0 -23w + 0 = 0 + -23z -23w = 0 + -23z Remove the zero: -23w = -23z Divide each side by '-23'. w = z Simplifying w = z
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