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Simplifying 17 + 4w + -12 + -1w = 0 Reorder the terms: 17 + -12 + 4w + -1w = 0 Combine like terms: 17 + -12 = 5 5 + 4w + -1w = 0 Combine like terms: 4w + -1w = 3w 5 + 3w = 0 Solving 5 + 3w = 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 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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