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Simplifying 5w + 5 = 2w + 23 Reorder the terms: 5 + 5w = 2w + 23 Reorder the terms: 5 + 5w = 23 + 2w Solving 5 + 5w = 23 + 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. 5 + 5w + -2w = 23 + 2w + -2w Combine like terms: 5w + -2w = 3w 5 + 3w = 23 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + 3w = 23 + 0 5 + 3w = 23 Add '-5' to each side of the equation. 5 + -5 + 3w = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 23 + -5 3w = 23 + -5 Combine like terms: 23 + -5 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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