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Simplifying 6 = w + 7 + -4w + 2 Reorder the terms: 6 = 7 + 2 + w + -4w Combine like terms: 7 + 2 = 9 6 = 9 + w + -4w Combine like terms: w + -4w = -3w 6 = 9 + -3w Solving 6 = 9 + -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. 6 + 3w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 6 + 3w = 9 + 0 6 + 3w = 9 Add '-6' to each side of the equation. 6 + -6 + 3w = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = 9 + -6 3w = 9 + -6 Combine like terms: 9 + -6 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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