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Simplifying 5w + -3(5z + -2w) + 3z = 0 Reorder the terms: 5w + -3(-2w + 5z) + 3z = 0 5w + (-2w * -3 + 5z * -3) + 3z = 0 5w + (6w + -15z) + 3z = 0 Combine like terms: 5w + 6w = 11w 11w + -15z + 3z = 0 Combine like terms: -15z + 3z = -12z 11w + -12z = 0 Solving 11w + -12z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12z' to each side of the equation. 11w + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 11w + 0 = 0 + 12z 11w = 0 + 12z Remove the zero: 11w = 12z Divide each side by '11'. w = 1.090909091z Simplifying w = 1.090909091z
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