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Simplifying 3w + -6(-6z + 5w) + -5z = 0 Reorder the terms: 3w + -6(5w + -6z) + -5z = 0 3w + (5w * -6 + -6z * -6) + -5z = 0 3w + (-30w + 36z) + -5z = 0 Combine like terms: 3w + -30w = -27w -27w + 36z + -5z = 0 Combine like terms: 36z + -5z = 31z -27w + 31z = 0 Solving -27w + 31z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31z' to each side of the equation. -27w + 31z + -31z = 0 + -31z Combine like terms: 31z + -31z = 0 -27w + 0 = 0 + -31z -27w = 0 + -31z Remove the zero: -27w = -31z Divide each side by '-27'. w = 1.148148148z Simplifying w = 1.148148148z
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