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Simplifying -6w + -3(-4z + 6w) + -4z = 0 Reorder the terms: -6w + -3(6w + -4z) + -4z = 0 -6w + (6w * -3 + -4z * -3) + -4z = 0 -6w + (-18w + 12z) + -4z = 0 Combine like terms: -6w + -18w = -24w -24w + 12z + -4z = 0 Combine like terms: 12z + -4z = 8z -24w + 8z = 0 Solving -24w + 8z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8z' to each side of the equation. -24w + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 -24w + 0 = 0 + -8z -24w = 0 + -8z Remove the zero: -24w = -8z Divide each side by '-24'. w = 0.3333333333z Simplifying w = 0.3333333333z
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