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Simplifying 12 + 7w = 4w + 12 Reorder the terms: 12 + 7w = 12 + 4w Add '-12' to each side of the equation. 12 + -12 + 7w = 12 + -12 + 4w Combine like terms: 12 + -12 = 0 0 + 7w = 12 + -12 + 4w 7w = 12 + -12 + 4w Combine like terms: 12 + -12 = 0 7w = 0 + 4w 7w = 4w Solving 7w = 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. 7w + -4w = 4w + -4w Combine like terms: 7w + -4w = 3w 3w = 4w + -4w Combine like terms: 4w + -4w = 0 3w = 0 Divide each side by '3'. w = 0 Simplifying w = 0
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