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Simplifying -2w + -2(-1z + 3w) + -5z = 0 Reorder the terms: -2w + -2(3w + -1z) + -5z = 0 -2w + (3w * -2 + -1z * -2) + -5z = 0 -2w + (-6w + 2z) + -5z = 0 Combine like terms: -2w + -6w = -8w -8w + 2z + -5z = 0 Combine like terms: 2z + -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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