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Simplifying -6w + -6(3z + -7w) + -2 = 0 Reorder the terms: -6w + -6(-7w + 3z) + -2 = 0 -6w + (-7w * -6 + 3z * -6) + -2 = 0 -6w + (42w + -18z) + -2 = 0 Reorder the terms: -2 + -6w + 42w + -18z = 0 Combine like terms: -6w + 42w = 36w -2 + 36w + -18z = 0 Solving -2 + 36w + -18z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 36w + 2 + -18z = 0 + 2 Reorder the terms: -2 + 2 + 36w + -18z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 36w + -18z = 0 + 2 36w + -18z = 0 + 2 Combine like terms: 0 + 2 = 2 36w + -18z = 2 Add '18z' to each side of the equation. 36w + -18z + 18z = 2 + 18z Combine like terms: -18z + 18z = 0 36w + 0 = 2 + 18z 36w = 2 + 18z Divide each side by '36'. w = 0.05555555556 + 0.5z Simplifying w = 0.05555555556 + 0.5z
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