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Simplifying 6w + -17 = 27 + 5w Reorder the terms: -17 + 6w = 27 + 5w Solving -17 + 6w = 27 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -17 + 6w + -5w = 27 + 5w + -5w Combine like terms: 6w + -5w = 1w -17 + 1w = 27 + 5w + -5w Combine like terms: 5w + -5w = 0 -17 + 1w = 27 + 0 -17 + 1w = 27 Add '17' to each side of the equation. -17 + 17 + 1w = 27 + 17 Combine like terms: -17 + 17 = 0 0 + 1w = 27 + 17 1w = 27 + 17 Combine like terms: 27 + 17 = 44 1w = 44 Divide each side by '1'. w = 44 Simplifying w = 44
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