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Simplifying -4w + -6(4z + -5w) + -3z = 0 Reorder the terms: -4w + -6(-5w + 4z) + -3z = 0 -4w + (-5w * -6 + 4z * -6) + -3z = 0 -4w + (30w + -24z) + -3z = 0 Combine like terms: -4w + 30w = 26w 26w + -24z + -3z = 0 Combine like terms: -24z + -3z = -27z 26w + -27z = 0 Solving 26w + -27z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27z' to each side of the equation. 26w + -27z + 27z = 0 + 27z Combine like terms: -27z + 27z = 0 26w + 0 = 0 + 27z 26w = 0 + 27z Remove the zero: 26w = 27z Divide each side by '26'. w = 1.038461538z Simplifying w = 1.038461538z
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