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Simplifying 5z + -6w + 8z + 2w = 0 Reorder the terms: -6w + 2w + 5z + 8z = 0 Combine like terms: -6w + 2w = -4w -4w + 5z + 8z = 0 Combine like terms: 5z + 8z = 13z -4w + 13z = 0 Solving -4w + 13z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13z' to each side of the equation. -4w + 13z + -13z = 0 + -13z Combine like terms: 13z + -13z = 0 -4w + 0 = 0 + -13z -4w = 0 + -13z Remove the zero: -4w = -13z Divide each side by '-4'. w = 3.25z Simplifying w = 3.25z
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