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Simplifying -2w + -2(3z + -5w) + -6z = 0 Reorder the terms: -2w + -2(-5w + 3z) + -6z = 0 -2w + (-5w * -2 + 3z * -2) + -6z = 0 -2w + (10w + -6z) + -6z = 0 Combine like terms: -2w + 10w = 8w 8w + -6z + -6z = 0 Combine like terms: -6z + -6z = -12z 8w + -12z = 0 Solving 8w + -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. 8w + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 8w + 0 = 0 + 12z 8w = 0 + 12z Remove the zero: 8w = 12z Divide each side by '8'. w = 1.5z Simplifying w = 1.5z
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