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Simplifying 5w + -3z + -6w + 4z = 0 Reorder the terms: 5w + -6w + -3z + 4z = 0 Combine like terms: 5w + -6w = -1w -1w + -3z + 4z = 0 Combine like terms: -3z + 4z = 1z -1w + 1z = 0 Solving -1w + 1z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1z' to each side of the equation. -1w + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 -1w + 0 = 0 + -1z -1w = 0 + -1z Remove the zero: -1w = -1z Divide each side by '-1'. w = z Simplifying w = z
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