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Simplifying -5w + -4(6z + -3w) + 6z = 0 Reorder the terms: -5w + -4(-3w + 6z) + 6z = 0 -5w + (-3w * -4 + 6z * -4) + 6z = 0 -5w + (12w + -24z) + 6z = 0 Combine like terms: -5w + 12w = 7w 7w + -24z + 6z = 0 Combine like terms: -24z + 6z = -18z 7w + -18z = 0 Solving 7w + -18z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18z' to each side of the equation. 7w + -18z + 18z = 0 + 18z Combine like terms: -18z + 18z = 0 7w + 0 = 0 + 18z 7w = 0 + 18z Remove the zero: 7w = 18z Divide each side by '7'. w = 2.571428571z Simplifying w = 2.571428571z
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