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Simplifying -3w + -5(2z + -2w) + -2z = 0 Reorder the terms: -3w + -5(-2w + 2z) + -2z = 0 -3w + (-2w * -5 + 2z * -5) + -2z = 0 -3w + (10w + -10z) + -2z = 0 Combine like terms: -3w + 10w = 7w 7w + -10z + -2z = 0 Combine like terms: -10z + -2z = -12z 7w + -12z = 0 Solving 7w + -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. 7w + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 7w + 0 = 0 + 12z 7w = 0 + 12z Remove the zero: 7w = 12z Divide each side by '7'. w = 1.714285714z Simplifying w = 1.714285714z
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