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Simplifying 3w + -4z + 2z + 4w + -10z = 0 Reorder the terms: 3w + 4w + -4z + 2z + -10z = 0 Combine like terms: 3w + 4w = 7w 7w + -4z + 2z + -10z = 0 Combine like terms: -4z + 2z = -2z 7w + -2z + -10z = 0 Combine like terms: -2z + -10z = -12z 7w + -12z = 0 Solving 7w + -12z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12z' to each side of the equation. 7w + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 7w + 0 = 0 + 12z 7w = 0 + 12z Remove the zero: 7w = 12z Divide each side by '7'. w = 1.714285714z Simplifying w = 1.714285714z
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