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Simplifying -6(w + 3z + 4) + -2(-7z + -5w) = 0 Reorder the terms: -6(4 + w + 3z) + -2(-7z + -5w) = 0 (4 * -6 + w * -6 + 3z * -6) + -2(-7z + -5w) = 0 (-24 + -6w + -18z) + -2(-7z + -5w) = 0 Reorder the terms: -24 + -6w + -18z + -2(-5w + -7z) = 0 -24 + -6w + -18z + (-5w * -2 + -7z * -2) = 0 -24 + -6w + -18z + (10w + 14z) = 0 Reorder the terms: -24 + -6w + 10w + -18z + 14z = 0 Combine like terms: -6w + 10w = 4w -24 + 4w + -18z + 14z = 0 Combine like terms: -18z + 14z = -4z -24 + 4w + -4z = 0 Solving -24 + 4w + -4z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 4w + 24 + -4z = 0 + 24 Reorder the terms: -24 + 24 + 4w + -4z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4w + -4z = 0 + 24 4w + -4z = 0 + 24 Combine like terms: 0 + 24 = 24 4w + -4z = 24 Add '4z' to each side of the equation. 4w + -4z + 4z = 24 + 4z Combine like terms: -4z + 4z = 0 4w + 0 = 24 + 4z 4w = 24 + 4z Divide each side by '4'. w = 6 + z Simplifying w = 6 + z
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