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Simplifying -2(-2w + -2z) + -4(-1z + -5w) = 0 (-2w * -2 + -2z * -2) + -4(-1z + -5w) = 0 (4w + 4z) + -4(-1z + -5w) = 0 Reorder the terms: 4w + 4z + -4(-5w + -1z) = 0 4w + 4z + (-5w * -4 + -1z * -4) = 0 4w + 4z + (20w + 4z) = 0 Reorder the terms: 4w + 20w + 4z + 4z = 0 Combine like terms: 4w + 20w = 24w 24w + 4z + 4z = 0 Combine like terms: 4z + 4z = 8z 24w + 8z = 0 Solving 24w + 8z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8z' to each side of the equation. 24w + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 24w + 0 = 0 + -8z 24w = 0 + -8z Remove the zero: 24w = -8z Divide each side by '24'. w = -0.3333333333z Simplifying w = -0.3333333333z
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