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Simplifying 3w + 1 = w + 4 Reorder the terms: 1 + 3w = w + 4 Reorder the terms: 1 + 3w = 4 + w Solving 1 + 3w = 4 + 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 + 3w + -1w = 4 + w + -1w Combine like terms: 3w + -1w = 2w 1 + 2w = 4 + w + -1w Combine like terms: w + -1w = 0 1 + 2w = 4 + 0 1 + 2w = 4 Add '-1' to each side of the equation. 1 + -1 + 2w = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 4 + -1 2w = 4 + -1 Combine like terms: 4 + -1 = 3 2w = 3 Divide each side by '2'. w = 1.5 Simplifying w = 1.5
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