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Simplifying 5w + 2z + 5 + -7z + -2w = 0 Reorder the terms: 5 + 5w + -2w + 2z + -7z = 0 Combine like terms: 5w + -2w = 3w 5 + 3w + 2z + -7z = 0 Combine like terms: 2z + -7z = -5z 5 + 3w + -5z = 0 Solving 5 + 3w + -5z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3w + -5 + -5z = 0 + -5 Reorder the terms: 5 + -5 + 3w + -5z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w + -5z = 0 + -5 3w + -5z = 0 + -5 Combine like terms: 0 + -5 = -5 3w + -5z = -5 Add '5z' to each side of the equation. 3w + -5z + 5z = -5 + 5z Combine like terms: -5z + 5z = 0 3w + 0 = -5 + 5z 3w = -5 + 5z Divide each side by '3'. w = -1.666666667 + 1.666666667z Simplifying w = -1.666666667 + 1.666666667z
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