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Simplifying 4w + -6(-4z + 5w) + -6z = 0 Reorder the terms: 4w + -6(5w + -4z) + -6z = 0 4w + (5w * -6 + -4z * -6) + -6z = 0 4w + (-30w + 24z) + -6z = 0 Combine like terms: 4w + -30w = -26w -26w + 24z + -6z = 0 Combine like terms: 24z + -6z = 18z -26w + 18z = 0 Solving -26w + 18z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18z' to each side of the equation. -26w + 18z + -18z = 0 + -18z Combine like terms: 18z + -18z = 0 -26w + 0 = 0 + -18z -26w = 0 + -18z Remove the zero: -26w = -18z Divide each side by '-26'. w = 0.6923076923z Simplifying w = 0.6923076923z
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