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Simplifying 2 + 21 = 5w + -3w + 21 Combine like terms: 2 + 21 = 23 23 = 5w + -3w + 21 Reorder the terms: 23 = 21 + 5w + -3w Combine like terms: 5w + -3w = 2w 23 = 21 + 2w Solving 23 = 21 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 23 + -2w = 21 + 2w + -2w Combine like terms: 2w + -2w = 0 23 + -2w = 21 + 0 23 + -2w = 21 Add '-23' to each side of the equation. 23 + -23 + -2w = 21 + -23 Combine like terms: 23 + -23 = 0 0 + -2w = 21 + -23 -2w = 21 + -23 Combine like terms: 21 + -23 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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