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Simplifying -5w + -6(-6z + 2w) + -6z = 0 Reorder the terms: -5w + -6(2w + -6z) + -6z = 0 -5w + (2w * -6 + -6z * -6) + -6z = 0 -5w + (-12w + 36z) + -6z = 0 Combine like terms: -5w + -12w = -17w -17w + 36z + -6z = 0 Combine like terms: 36z + -6z = 30z -17w + 30z = 0 Solving -17w + 30z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30z' to each side of the equation. -17w + 30z + -30z = 0 + -30z Combine like terms: 30z + -30z = 0 -17w + 0 = 0 + -30z -17w = 0 + -30z Remove the zero: -17w = -30z Divide each side by '-17'. w = 1.764705882z Simplifying w = 1.764705882z
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