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Simplifying z + 4w + 3w + 12z = 0 Reorder the terms: 4w + 3w + z + 12z = 0 Combine like terms: 4w + 3w = 7w 7w + z + 12z = 0 Combine like terms: z + 12z = 13z 7w + 13z = 0 Solving 7w + 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. 7w + 13z + -13z = 0 + -13z Combine like terms: 13z + -13z = 0 7w + 0 = 0 + -13z 7w = 0 + -13z Remove the zero: 7w = -13z Divide each side by '7'. w = -1.857142857z Simplifying w = -1.857142857z
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