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Simplifying -4w + 13w + 5 = 6w + 31 Reorder the terms: 5 + -4w + 13w = 6w + 31 Combine like terms: -4w + 13w = 9w 5 + 9w = 6w + 31 Reorder the terms: 5 + 9w = 31 + 6w Solving 5 + 9w = 31 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 5 + 9w + -6w = 31 + 6w + -6w Combine like terms: 9w + -6w = 3w 5 + 3w = 31 + 6w + -6w Combine like terms: 6w + -6w = 0 5 + 3w = 31 + 0 5 + 3w = 31 Add '-5' to each side of the equation. 5 + -5 + 3w = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 31 + -5 3w = 31 + -5 Combine like terms: 31 + -5 = 26 3w = 26 Divide each side by '3'. w = 8.666666667 Simplifying w = 8.666666667
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