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Simplifying 7w + 8 = 4w + 23 Reorder the terms: 8 + 7w = 4w + 23 Reorder the terms: 8 + 7w = 23 + 4w Solving 8 + 7w = 23 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 8 + 7w + -4w = 23 + 4w + -4w Combine like terms: 7w + -4w = 3w 8 + 3w = 23 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 3w = 23 + 0 8 + 3w = 23 Add '-8' to each side of the equation. 8 + -8 + 3w = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 23 + -8 3w = 23 + -8 Combine like terms: 23 + -8 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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