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Simplifying 3w + [w + 1] = 12 + w Reorder the terms: 3w + [1 + w] = 12 + w Remove brackets around [1 + w] 3w + 1 + w = 12 + w Reorder the terms: 1 + 3w + w = 12 + w Combine like terms: 3w + w = 4w 1 + 4w = 12 + w Solving 1 + 4w = 12 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 1 + 4w + -1w = 12 + w + -1w Combine like terms: 4w + -1w = 3w 1 + 3w = 12 + w + -1w Combine like terms: w + -1w = 0 1 + 3w = 12 + 0 1 + 3w = 12 Add '-1' to each side of the equation. 1 + -1 + 3w = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 12 + -1 3w = 12 + -1 Combine like terms: 12 + -1 = 11 3w = 11 Divide each side by '3'. w = 3.666666667 Simplifying w = 3.666666667
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