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Simplifying 17 + 3w + 4 = 6 + 2w + 3 + 5w Reorder the terms: 17 + 4 + 3w = 6 + 2w + 3 + 5w Combine like terms: 17 + 4 = 21 21 + 3w = 6 + 2w + 3 + 5w Reorder the terms: 21 + 3w = 6 + 3 + 2w + 5w Combine like terms: 6 + 3 = 9 21 + 3w = 9 + 2w + 5w Combine like terms: 2w + 5w = 7w 21 + 3w = 9 + 7w Solving 21 + 3w = 9 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 21 + 3w + -7w = 9 + 7w + -7w Combine like terms: 3w + -7w = -4w 21 + -4w = 9 + 7w + -7w Combine like terms: 7w + -7w = 0 21 + -4w = 9 + 0 21 + -4w = 9 Add '-21' to each side of the equation. 21 + -21 + -4w = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -4w = 9 + -21 -4w = 9 + -21 Combine like terms: 9 + -21 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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