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Simplifying -6(-2w + -1z) + -5(-6z + 7w) = 0 (-2w * -6 + -1z * -6) + -5(-6z + 7w) = 0 (12w + 6z) + -5(-6z + 7w) = 0 Reorder the terms: 12w + 6z + -5(7w + -6z) = 0 12w + 6z + (7w * -5 + -6z * -5) = 0 12w + 6z + (-35w + 30z) = 0 Reorder the terms: 12w + -35w + 6z + 30z = 0 Combine like terms: 12w + -35w = -23w -23w + 6z + 30z = 0 Combine like terms: 6z + 30z = 36z -23w + 36z = 0 Solving -23w + 36z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36z' to each side of the equation. -23w + 36z + -36z = 0 + -36z Combine like terms: 36z + -36z = 0 -23w + 0 = 0 + -36z -23w = 0 + -36z Remove the zero: -23w = -36z Divide each side by '-23'. w = 1.565217391z Simplifying w = 1.565217391z
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