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Simplifying -5(-1w + -4z) + -4(-7z + -7w) = 0 (-1w * -5 + -4z * -5) + -4(-7z + -7w) = 0 (5w + 20z) + -4(-7z + -7w) = 0 Reorder the terms: 5w + 20z + -4(-7w + -7z) = 0 5w + 20z + (-7w * -4 + -7z * -4) = 0 5w + 20z + (28w + 28z) = 0 Reorder the terms: 5w + 28w + 20z + 28z = 0 Combine like terms: 5w + 28w = 33w 33w + 20z + 28z = 0 Combine like terms: 20z + 28z = 48z 33w + 48z = 0 Solving 33w + 48z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48z' to each side of the equation. 33w + 48z + -48z = 0 + -48z Combine like terms: 48z + -48z = 0 33w + 0 = 0 + -48z 33w = 0 + -48z Remove the zero: 33w = -48z Divide each side by '33'. w = -1.454545455z Simplifying w = -1.454545455z
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