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Simplifying 3w + 6 = 2 + 4w + 9 Reorder the terms: 6 + 3w = 2 + 4w + 9 Reorder the terms: 6 + 3w = 2 + 9 + 4w Combine like terms: 2 + 9 = 11 6 + 3w = 11 + 4w Solving 6 + 3w = 11 + 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. 6 + 3w + -4w = 11 + 4w + -4w Combine like terms: 3w + -4w = -1w 6 + -1w = 11 + 4w + -4w Combine like terms: 4w + -4w = 0 6 + -1w = 11 + 0 6 + -1w = 11 Add '-6' to each side of the equation. 6 + -6 + -1w = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 11 + -6 -1w = 11 + -6 Combine like terms: 11 + -6 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5
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