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Simplifying -5w + -4(2z + -3w) + -3z = 0 Reorder the terms: -5w + -4(-3w + 2z) + -3z = 0 -5w + (-3w * -4 + 2z * -4) + -3z = 0 -5w + (12w + -8z) + -3z = 0 Combine like terms: -5w + 12w = 7w 7w + -8z + -3z = 0 Combine like terms: -8z + -3z = -11z 7w + -11z = 0 Solving 7w + -11z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11z' to each side of the equation. 7w + -11z + 11z = 0 + 11z Combine like terms: -11z + 11z = 0 7w + 0 = 0 + 11z 7w = 0 + 11z Remove the zero: 7w = 11z Divide each side by '7'. w = 1.571428571z Simplifying w = 1.571428571z
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