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Simplifying -5w + -3(6z + -5w) + 4 = 0 Reorder the terms: -5w + -3(-5w + 6z) + 4 = 0 -5w + (-5w * -3 + 6z * -3) + 4 = 0 -5w + (15w + -18z) + 4 = 0 Reorder the terms: 4 + -5w + 15w + -18z = 0 Combine like terms: -5w + 15w = 10w 4 + 10w + -18z = 0 Solving 4 + 10w + -18z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 10w + -4 + -18z = 0 + -4 Reorder the terms: 4 + -4 + 10w + -18z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10w + -18z = 0 + -4 10w + -18z = 0 + -4 Combine like terms: 0 + -4 = -4 10w + -18z = -4 Add '18z' to each side of the equation. 10w + -18z + 18z = -4 + 18z Combine like terms: -18z + 18z = 0 10w + 0 = -4 + 18z 10w = -4 + 18z Divide each side by '10'. w = -0.4 + 1.8z Simplifying w = -0.4 + 1.8z
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