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Simplifying 2w + 17 = 21 + 3w Reorder the terms: 17 + 2w = 21 + 3w Solving 17 + 2w = 21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 17 + 2w + -3w = 21 + 3w + -3w Combine like terms: 2w + -3w = -1w 17 + -1w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 17 + -1w = 21 + 0 17 + -1w = 21 Add '-17' to each side of the equation. 17 + -17 + -1w = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -1w = 21 + -17 -1w = 21 + -17 Combine like terms: 21 + -17 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4
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