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Simplifying 3w + -5(-4z + 2w) + -4z = 0 Reorder the terms: 3w + -5(2w + -4z) + -4z = 0 3w + (2w * -5 + -4z * -5) + -4z = 0 3w + (-10w + 20z) + -4z = 0 Combine like terms: 3w + -10w = -7w -7w + 20z + -4z = 0 Combine like terms: 20z + -4z = 16z -7w + 16z = 0 Solving -7w + 16z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16z' to each side of the equation. -7w + 16z + -16z = 0 + -16z Combine like terms: 16z + -16z = 0 -7w + 0 = 0 + -16z -7w = 0 + -16z Remove the zero: -7w = -16z Divide each side by '-7'. w = 2.285714286z Simplifying w = 2.285714286z
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