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Simplifying 4w + -6(-5z + 2w) + -6z = 0 Reorder the terms: 4w + -6(2w + -5z) + -6z = 0 4w + (2w * -6 + -5z * -6) + -6z = 0 4w + (-12w + 30z) + -6z = 0 Combine like terms: 4w + -12w = -8w -8w + 30z + -6z = 0 Combine like terms: 30z + -6z = 24z -8w + 24z = 0 Solving -8w + 24z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24z' to each side of the equation. -8w + 24z + -24z = 0 + -24z Combine like terms: 24z + -24z = 0 -8w + 0 = 0 + -24z -8w = 0 + -24z Remove the zero: -8w = -24z Divide each side by '-8'. w = 3z Simplifying w = 3z
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