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Simplifying -3(4z + -11w) + 6(7w + -3z) = 0 Reorder the terms: -3(-11w + 4z) + 6(7w + -3z) = 0 (-11w * -3 + 4z * -3) + 6(7w + -3z) = 0 (33w + -12z) + 6(7w + -3z) = 0 33w + -12z + (7w * 6 + -3z * 6) = 0 33w + -12z + (42w + -18z) = 0 Reorder the terms: 33w + 42w + -12z + -18z = 0 Combine like terms: 33w + 42w = 75w 75w + -12z + -18z = 0 Combine like terms: -12z + -18z = -30z 75w + -30z = 0 Solving 75w + -30z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30z' to each side of the equation. 75w + -30z + 30z = 0 + 30z Combine like terms: -30z + 30z = 0 75w + 0 = 0 + 30z 75w = 0 + 30z Remove the zero: 75w = 30z Divide each side by '75'. w = 0.4z Simplifying w = 0.4z
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