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Simplifying 3w + -17 = w + 27 Reorder the terms: -17 + 3w = w + 27 Reorder the terms: -17 + 3w = 27 + w Solving -17 + 3w = 27 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -17 + 3w + -1w = 27 + w + -1w Combine like terms: 3w + -1w = 2w -17 + 2w = 27 + w + -1w Combine like terms: w + -1w = 0 -17 + 2w = 27 + 0 -17 + 2w = 27 Add '17' to each side of the equation. -17 + 17 + 2w = 27 + 17 Combine like terms: -17 + 17 = 0 0 + 2w = 27 + 17 2w = 27 + 17 Combine like terms: 27 + 17 = 44 2w = 44 Divide each side by '2'. w = 22 Simplifying w = 22
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