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Simplifying 2w + -2(4z + -3w) + 5z = 0 Reorder the terms: 2w + -2(-3w + 4z) + 5z = 0 2w + (-3w * -2 + 4z * -2) + 5z = 0 2w + (6w + -8z) + 5z = 0 Combine like terms: 2w + 6w = 8w 8w + -8z + 5z = 0 Combine like terms: -8z + 5z = -3z 8w + -3z = 0 Solving 8w + -3z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3z' to each side of the equation. 8w + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 8w + 0 = 0 + 3z 8w = 0 + 3z Remove the zero: 8w = 3z Divide each side by '8'. w = 0.375z Simplifying w = 0.375z
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