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Simplifying 8w + 6 + -1w = 4 + 3w + 2 Reorder the terms: 6 + 8w + -1w = 4 + 3w + 2 Combine like terms: 8w + -1w = 7w 6 + 7w = 4 + 3w + 2 Reorder the terms: 6 + 7w = 4 + 2 + 3w Combine like terms: 4 + 2 = 6 6 + 7w = 6 + 3w Add '-6' to each side of the equation. 6 + -6 + 7w = 6 + -6 + 3w Combine like terms: 6 + -6 = 0 0 + 7w = 6 + -6 + 3w 7w = 6 + -6 + 3w Combine like terms: 6 + -6 = 0 7w = 0 + 3w 7w = 3w Solving 7w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7w + -3w = 3w + -3w Combine like terms: 7w + -3w = 4w 4w = 3w + -3w Combine like terms: 3w + -3w = 0 4w = 0 Divide each side by '4'. w = 0 Simplifying w = 0
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