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Simplifying -4w + -6(-4z + 3w) + 6z = 0 Reorder the terms: -4w + -6(3w + -4z) + 6z = 0 -4w + (3w * -6 + -4z * -6) + 6z = 0 -4w + (-18w + 24z) + 6z = 0 Combine like terms: -4w + -18w = -22w -22w + 24z + 6z = 0 Combine like terms: 24z + 6z = 30z -22w + 30z = 0 Solving -22w + 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. -22w + 30z + -30z = 0 + -30z Combine like terms: 30z + -30z = 0 -22w + 0 = 0 + -30z -22w = 0 + -30z Remove the zero: -22w = -30z Divide each side by '-22'. w = 1.363636364z Simplifying w = 1.363636364z
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